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Finding the Fourth Proportional to 198,542.44, 297,850.57 and 65,432.05

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Solution

The fourth proportional to 198,542.44, 297,850.57 and 65,432.05 is: 98,160.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,542.44 : 297,850.57 = 65,432.05 : x
  2. Step 2: Convert to fraction form
    198,542.44/297,850.57 = 65,432.05/x
  3. Step 3: Cross multiply
    198,542.44x = 297,850.57 × 65,432.05
  4. Step 4: Simplify right side
    198,542.44x = 19,488,974,155.97
  5. Step 5: Solve for x
    x = 19,488,974,155.97/198,542.44
  6. Step 6: Final answer
    x = 98,160.24

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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.