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Finding the Fourth Proportional to 202,538.10, 303,661.35 and 113,818.80

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Solution

The fourth proportional to 202,538.10, 303,661.35 and 113,818.80 is: 170,646.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,538.10 : 303,661.35 = 113,818.80 : x
  2. Step 2: Convert to fraction form
    202,538.10/303,661.35 = 113,818.80/x
  3. Step 3: Cross multiply
    202,538.10x = 303,661.35 × 113,818.80
  4. Step 4: Simplify right side
    202,538.10x = 34,562,370,463.38
  5. Step 5: Solve for x
    x = 34,562,370,463.38/202,538.10
  6. Step 6: Final answer
    x = 170,646.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.