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Finding the Fourth Proportional to 138,523.98, 207,774.84 and 61,610.78

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Solution

The fourth proportional to 138,523.98, 207,774.84 and 61,610.78 is: 92,411.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,523.98 : 207,774.84 = 61,610.78 : x
  2. Step 2: Convert to fraction form
    138,523.98/207,774.84 = 61,610.78/x
  3. Step 3: Cross multiply
    138,523.98x = 207,774.84 × 61,610.78
  4. Step 4: Simplify right side
    138,523.98x = 12,801,169,956.78
  5. Step 5: Solve for x
    x = 12,801,169,956.78/138,523.98
  6. Step 6: Final answer
    x = 92,411.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.