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Finding the Fourth Proportional to 138,644.60, 207,966.22 and 54,345.20

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Solution

The fourth proportional to 138,644.60, 207,966.22 and 54,345.20 is: 81,517.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,644.60 : 207,966.22 = 54,345.20 : x
  2. Step 2: Convert to fraction form
    138,644.60/207,966.22 = 54,345.20/x
  3. Step 3: Cross multiply
    138,644.60x = 207,966.22 × 54,345.20
  4. Step 4: Simplify right side
    138,644.60x = 11,301,965,819.14
  5. Step 5: Solve for x
    x = 11,301,965,819.14/138,644.60
  6. Step 6: Final answer
    x = 81,517.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.