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Finding the Fourth Proportional to 138,592.96, 191,258.28 and 74,930.74

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Solution

The fourth proportional to 138,592.96, 191,258.28 and 74,930.74 is: 103,404.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,592.96 : 191,258.28 = 74,930.74 : x
  2. Step 2: Convert to fraction form
    138,592.96/191,258.28 = 74,930.74/x
  3. Step 3: Cross multiply
    138,592.96x = 191,258.28 × 74,930.74
  4. Step 4: Simplify right side
    138,592.96x = 14,331,124,451.53
  5. Step 5: Solve for x
    x = 14,331,124,451.53/138,592.96
  6. Step 6: Final answer
    x = 103,404.42

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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.