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Finding the Fourth Proportional to 198,553.32, 297,866.88 and 65,442.92

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Solution

The fourth proportional to 198,553.32, 297,866.88 and 65,442.92 is: 98,176.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,553.32 : 297,866.88 = 65,442.92 : x
  2. Step 2: Convert to fraction form
    198,553.32/297,866.88 = 65,442.92/x
  3. Step 3: Cross multiply
    198,553.32x = 297,866.88 × 65,442.92
  4. Step 4: Simplify right side
    198,553.32x = 19,493,278,398.49
  5. Step 5: Solve for x
    x = 19,493,278,398.49/198,553.32
  6. Step 6: Final answer
    x = 98,176.54

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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.