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Finding the Fourth Proportional to 138,592.41, 191,257.51 and 74,930.21

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Solution

The fourth proportional to 138,592.41, 191,257.51 and 74,930.21 is: 103,403.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,592.41 : 191,257.51 = 74,930.21 : x
  2. Step 2: Convert to fraction form
    138,592.41/191,257.51 = 74,930.21/x
  3. Step 3: Cross multiply
    138,592.41x = 191,257.51 × 74,930.21
  4. Step 4: Simplify right side
    138,592.41x = 14,330,965,388.38
  5. Step 5: Solve for x
    x = 14,330,965,388.38/138,592.41
  6. Step 6: Final answer
    x = 103,403.68

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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.