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Finding the Fourth Proportional to 132,019.08, 198,037.26 and 38,517

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Solution

The fourth proportional to 132,019.08, 198,037.26 and 38,517 is: 57,778.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,019.08 : 198,037.26 = 38,517 : x
  2. Step 2: Convert to fraction form
    132,019.08/198,037.26 = 38,517/x
  3. Step 3: Cross multiply
    132,019.08x = 198,037.26 × 38,517
  4. Step 4: Simplify right side
    132,019.08x = 7,627,801,143.42
  5. Step 5: Solve for x
    x = 7,627,801,143.42/132,019.08
  6. Step 6: Final answer
    x = 57,778.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.