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Finding the Fourth Proportional to 202,414.43, 303,622.68 and 84,085.90

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Solution

The fourth proportional to 202,414.43, 303,622.68 and 84,085.90 is: 126,129.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,414.43 : 303,622.68 = 84,085.90 : x
  2. Step 2: Convert to fraction form
    202,414.43/303,622.68 = 84,085.90/x
  3. Step 3: Cross multiply
    202,414.43x = 303,622.68 × 84,085.90
  4. Step 4: Simplify right side
    202,414.43x = 25,530,386,308.21
  5. Step 5: Solve for x
    x = 25,530,386,308.21/202,414.43
  6. Step 6: Final answer
    x = 126,129.28

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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.