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Finding the Fourth Proportional to 122,923.78, 169,624.48 and 75,167.90

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Solution

The fourth proportional to 122,923.78, 169,624.48 and 75,167.90 is: 103,725.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,923.78 : 169,624.48 = 75,167.90 : x
  2. Step 2: Convert to fraction form
    122,923.78/169,624.48 = 75,167.90/x
  3. Step 3: Cross multiply
    122,923.78x = 169,624.48 × 75,167.90
  4. Step 4: Simplify right side
    122,923.78x = 12,750,315,691.18
  5. Step 5: Solve for x
    x = 12,750,315,691.18/122,923.78
  6. Step 6: Final answer
    x = 103,725.38

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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.