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Finding the Fourth Proportional to 198,433.59, 297,691.38 and 65,321.84

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Solution

The fourth proportional to 198,433.59, 297,691.38 and 65,321.84 is: 97,996.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,433.59 : 297,691.38 = 65,321.84 : x
  2. Step 2: Convert to fraction form
    198,433.59/297,691.38 = 65,321.84/x
  3. Step 3: Cross multiply
    198,433.59x = 297,691.38 × 65,321.84
  4. Step 4: Simplify right side
    198,433.59x = 19,445,747,205.28
  5. Step 5: Solve for x
    x = 19,445,747,205.28/198,433.59
  6. Step 6: Final answer
    x = 97,996.25

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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.