Ping IP Address Residing In A Cell

I have a local area network with a couple of hundred computers which share one internet connection. Each user has a CPE (customer premise equipment) with an assigned (by me) IP. This CPE connets to the users equipment via CAT5. My responsibility is to provide internet. Sometimes users call and say their comupter cannot access the internet. I need a quick way to see if the problem lies with my network or if the problem is with the customer's computer. It seems to me that if I could open my spreedsheet with all the network connections and user data and simply ping their IP I would see if the problem is with my equipment or the users.

Column A of my spreedsheet has the actual IP addresses: 192.168.1.1 thru 192.168.1.254 and 10.0.0.1 thru 10.0.0.254 but not all are currently being used. Each row has distinct user account information. I have created a shortcut, named it PING106.bat and listed the target as %windir%system32ping.exe 192.168.1.106 which I can click on and it runs. Next I inserted a hyperlink in A:107 and it does work (it brings up a DOS screen and pings 192.168.1.106 three times then closes the DOS screen)... But there must be a better way. I don't want to create hundreds of shortcuts and insert hyperlinks to specific cells one at a time. It would be nice if I could click on a cell which contains an IP and know if that particular IP is up and reachable on my LAN.