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Finding the Fourth Proportional to 103,729.60, 155,248.80 and 95,435.20

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Solution

The fourth proportional to 103,729.60, 155,248.80 and 95,435.20 is: 142,834.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,729.60 : 155,248.80 = 95,435.20 : x
  2. Step 2: Convert to fraction form
    103,729.60/155,248.80 = 95,435.20/x
  3. Step 3: Cross multiply
    103,729.60x = 155,248.80 × 95,435.20
  4. Step 4: Simplify right side
    103,729.60x = 14,816,200,277.76
  5. Step 5: Solve for x
    x = 14,816,200,277.76/103,729.60
  6. Step 6: Final answer
    x = 142,834.83

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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.