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Finding the Fourth Proportional to 138,801.14, 191,562.93 and 82,234.10

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Solution

The fourth proportional to 138,801.14, 191,562.93 and 82,234.10 is: 113,493.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,801.14 : 191,562.93 = 82,234.10 : x
  2. Step 2: Convert to fraction form
    138,801.14/191,562.93 = 82,234.10/x
  3. Step 3: Cross multiply
    138,801.14x = 191,562.93 × 82,234.10
  4. Step 4: Simplify right side
    138,801.14x = 15,753,005,141.91
  5. Step 5: Solve for x
    x = 15,753,005,141.91/138,801.14
  6. Step 6: Final answer
    x = 113,493.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.