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Finding the Fourth Proportional to 198,627.60, 297,951.12 and 65,507.28

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Solution

The fourth proportional to 198,627.60, 297,951.12 and 65,507.28 is: 98,264.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,627.60 : 297,951.12 = 65,507.28 : x
  2. Step 2: Convert to fraction form
    198,627.60/297,951.12 = 65,507.28/x
  3. Step 3: Cross multiply
    198,627.60x = 297,951.12 × 65,507.28
  4. Step 4: Simplify right side
    198,627.60x = 19,517,967,444.15
  5. Step 5: Solve for x
    x = 19,517,967,444.15/198,627.60
  6. Step 6: Final answer
    x = 98,264.13

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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.