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Finding the Fourth Proportional to 133,704.87, 200,422.23 and 83,819.89

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Solution

The fourth proportional to 133,704.87, 200,422.23 and 83,819.89 is: 125,645.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,704.87 : 200,422.23 = 83,819.89 : x
  2. Step 2: Convert to fraction form
    133,704.87/200,422.23 = 83,819.89/x
  3. Step 3: Cross multiply
    133,704.87x = 200,422.23 × 83,819.89
  4. Step 4: Simplify right side
    133,704.87x = 16,799,369,272.15
  5. Step 5: Solve for x
    x = 16,799,369,272.15/133,704.87
  6. Step 6: Final answer
    x = 125,645.16

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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.