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Finding the Fourth Proportional to 103,657.67, 155,793.24 and 86,002.86

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Solution

The fourth proportional to 103,657.67, 155,793.24 and 86,002.86 is: 129,258.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,657.67 : 155,793.24 = 86,002.86 : x
  2. Step 2: Convert to fraction form
    103,657.67/155,793.24 = 86,002.86/x
  3. Step 3: Cross multiply
    103,657.67x = 155,793.24 × 86,002.86
  4. Step 4: Simplify right side
    103,657.67x = 13,398,664,208.67
  5. Step 5: Solve for x
    x = 13,398,664,208.67/103,657.67
  6. Step 6: Final answer
    x = 129,258.78

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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.