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Finding the Fourth Proportional to 198,264.96, 297,241.92 and 98,354.88

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Solution

The fourth proportional to 198,264.96, 297,241.92 and 98,354.88 is: 147,455.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,264.96 : 297,241.92 = 98,354.88 : x
  2. Step 2: Convert to fraction form
    198,264.96/297,241.92 = 98,354.88/x
  3. Step 3: Cross multiply
    198,264.96x = 297,241.92 × 98,354.88
  4. Step 4: Simplify right side
    198,264.96x = 29,235,193,372.57
  5. Step 5: Solve for x
    x = 29,235,193,372.57/198,264.96
  6. Step 6: Final answer
    x = 147,455.17

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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.