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Finding the Fourth Proportional to 129,854.52, 194,712.12 and 66,648.60

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Solution

The fourth proportional to 129,854.52, 194,712.12 and 66,648.60 is: 99,937.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,854.52 : 194,712.12 = 66,648.60 : x
  2. Step 2: Convert to fraction form
    129,854.52/194,712.12 = 66,648.60/x
  3. Step 3: Cross multiply
    129,854.52x = 194,712.12 × 66,648.60
  4. Step 4: Simplify right side
    129,854.52x = 12,977,290,201.03
  5. Step 5: Solve for x
    x = 12,977,290,201.03/129,854.52
  6. Step 6: Final answer
    x = 99,937.15

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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.