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Finding the Fourth Proportional to 138,892.29, 208,338.54 and 33,711.36

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Solution

The fourth proportional to 138,892.29, 208,338.54 and 33,711.36 is: 50,567.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,892.29 : 208,338.54 = 33,711.36 : x
  2. Step 2: Convert to fraction form
    138,892.29/208,338.54 = 33,711.36/x
  3. Step 3: Cross multiply
    138,892.29x = 208,338.54 × 33,711.36
  4. Step 4: Simplify right side
    138,892.29x = 7,023,375,523.81
  5. Step 5: Solve for x
    x = 7,023,375,523.81/138,892.29
  6. Step 6: Final answer
    x = 50,567.07

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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.