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Finding the Fourth Proportional to 138,422.98, 191,023.65 and 74,760.79

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Solution

The fourth proportional to 138,422.98, 191,023.65 and 74,760.79 is: 103,169.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,422.98 : 191,023.65 = 74,760.79 : x
  2. Step 2: Convert to fraction form
    138,422.98/191,023.65 = 74,760.79/x
  3. Step 3: Cross multiply
    138,422.98x = 191,023.65 × 74,760.79
  4. Step 4: Simplify right side
    138,422.98x = 14,281,078,982.68
  5. Step 5: Solve for x
    x = 14,281,078,982.68/138,422.98
  6. Step 6: Final answer
    x = 103,169.86

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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.