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Finding the Fourth Proportional to 135,200.28, 202,691.04 and 82,591.99

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Solution

The fourth proportional to 135,200.28, 202,691.04 and 82,591.99 is: 123,821.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,200.28 : 202,691.04 = 82,591.99 : x
  2. Step 2: Convert to fraction form
    135,200.28/202,691.04 = 82,591.99/x
  3. Step 3: Cross multiply
    135,200.28x = 202,691.04 × 82,591.99
  4. Step 4: Simplify right side
    135,200.28x = 16,740,656,348.77
  5. Step 5: Solve for x
    x = 16,740,656,348.77/135,200.28
  6. Step 6: Final answer
    x = 123,821.17

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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.