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Finding the Fourth Proportional to 138,740.92, 191,462.74 and 75,078.74

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Solution

The fourth proportional to 138,740.92, 191,462.74 and 75,078.74 is: 103,608.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,740.92 : 191,462.74 = 75,078.74 : x
  2. Step 2: Convert to fraction form
    138,740.92/191,462.74 = 75,078.74/x
  3. Step 3: Cross multiply
    138,740.92x = 191,462.74 × 75,078.74
  4. Step 4: Simplify right side
    138,740.92x = 14,374,781,276.15
  5. Step 5: Solve for x
    x = 14,374,781,276.15/138,740.92
  6. Step 6: Final answer
    x = 103,608.81

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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.