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Finding the Fourth Proportional to 82,387.50, 123,581.17 and 71,261.11

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Solution

The fourth proportional to 82,387.50, 123,581.17 and 71,261.11 is: 106,891.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,387.50 : 123,581.17 = 71,261.11 : x
  2. Step 2: Convert to fraction form
    82,387.50/123,581.17 = 71,261.11/x
  3. Step 3: Cross multiply
    82,387.50x = 123,581.17 × 71,261.11
  4. Step 4: Simplify right side
    82,387.50x = 8,806,531,349.30
  5. Step 5: Solve for x
    x = 8,806,531,349.30/82,387.50
  6. Step 6: Final answer
    x = 106,891.60

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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.