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Finding the Fourth Proportional to 132,098.25, 198,105.88 and 43,330.96

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Solution

The fourth proportional to 132,098.25, 198,105.88 and 43,330.96 is: 64,982.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,098.25 : 198,105.88 = 43,330.96 : x
  2. Step 2: Convert to fraction form
    132,098.25/198,105.88 = 43,330.96/x
  3. Step 3: Cross multiply
    132,098.25x = 198,105.88 × 43,330.96
  4. Step 4: Simplify right side
    132,098.25x = 8,584,117,962.04
  5. Step 5: Solve for x
    x = 8,584,117,962.04/132,098.25
  6. Step 6: Final answer
    x = 64,982.83

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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.