Step 1 :The problem states that the budget has increased by 10% this year, and the increased budget is $242,000. This means that the increased budget is 110% of the original budget.
Step 2 :We can set up the equation \(1.1 \times \text{{original budget}} = 242000\) to find the original budget.
Step 3 :Solving this equation for the original budget gives us \(\text{{original budget}} = \frac{{242000}}{{1.1}}\)
Step 4 :Calculating the above expression gives us \(\text{{original budget}} = 219999.99999999997\)
Step 5 :Rounding to the nearest dollar gives us \(\text{{original budget}} = 220000\)
Step 6 :Final Answer: The original budget before the increase was \(\boxed{220000}\)