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Finding the Fourth Proportional to 198,610.80, 297,916.20 and 80,221.20

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Solution

The fourth proportional to 198,610.80, 297,916.20 and 80,221.20 is: 120,331.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,610.80 : 297,916.20 = 80,221.20 : x
  2. Step 2: Convert to fraction form
    198,610.80/297,916.20 = 80,221.20/x
  3. Step 3: Cross multiply
    198,610.80x = 297,916.20 × 80,221.20
  4. Step 4: Simplify right side
    198,610.80x = 23,899,195,063.44
  5. Step 5: Solve for x
    x = 23,899,195,063.44/198,610.80
  6. Step 6: Final answer
    x = 120,331.80

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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.