Unique Chrome / Firefox proxy for each tab?

I am wondering if there is a plugin or a possible library that allows you to control Firefox or Chrome and set proxies based on each tab.

I am trying to make each tab in the browser have a unique proxy server, so connections from one tab do not seem to come from the same IP address as the other tab. Probably, I will have to consider cookies that will be isolated, since it will connect to the same domain, but something will focus on a little later.

I can’t use HttpWebRequest since the site uses very little Javascript to process the data before sending it back to the server.