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Finding the Fourth Proportional to 138,599.92, 191,267.62 and 78,170.38

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Solution

The fourth proportional to 138,599.92, 191,267.62 and 78,170.38 is: 107,874.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,599.92 : 191,267.62 = 78,170.38 : x
  2. Step 2: Convert to fraction form
    138,599.92/191,267.62 = 78,170.38/x
  3. Step 3: Cross multiply
    138,599.92x = 191,267.62 × 78,170.38
  4. Step 4: Simplify right side
    138,599.92x = 14,951,462,537.10
  5. Step 5: Solve for x
    x = 14,951,462,537.10/138,599.92
  6. Step 6: Final answer
    x = 107,874.97

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Why These Related Problems?

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