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Finding the Fourth Proportional to 137,856.36, 206,691.39 and 47,875.89

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Solution

The fourth proportional to 137,856.36, 206,691.39 and 47,875.89 is: 71,781.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,856.36 : 206,691.39 = 47,875.89 : x
  2. Step 2: Convert to fraction form
    137,856.36/206,691.39 = 47,875.89/x
  3. Step 3: Cross multiply
    137,856.36x = 206,691.39 × 47,875.89
  4. Step 4: Simplify right side
    137,856.36x = 9,895,534,251.59
  5. Step 5: Solve for x
    x = 9,895,534,251.59/137,856.36
  6. Step 6: Final answer
    x = 71,781.49

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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.