Holiday Contest 2025 - Guts Round - Set 3 Problem 1

Eric starts working in January and is paid hourly. Every following January, he receives a 12.5\% raise, but every four months he works for \frac{2}{3} times as long as the previous four months. If Eric earns a total of \$18,000 during his first four months, how much money will be earn if he continues this trend of working for an indefinite period of time?