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Finding the Fourth Proportional to 138,152.88, 207,229.14 and 55,105.20

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Solution

The fourth proportional to 138,152.88, 207,229.14 and 55,105.20 is: 82,657.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,152.88 : 207,229.14 = 55,105.20 : x
  2. Step 2: Convert to fraction form
    138,152.88/207,229.14 = 55,105.20/x
  3. Step 3: Cross multiply
    138,152.88x = 207,229.14 × 55,105.20
  4. Step 4: Simplify right side
    138,152.88x = 11,419,403,205.53
  5. Step 5: Solve for x
    x = 11,419,403,205.53/138,152.88
  6. Step 6: Final answer
    x = 82,657.73

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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.