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Finding the Fourth Proportional to 198,098.64, 297,191.67 and 73,439.64

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Solution

The fourth proportional to 198,098.64, 297,191.67 and 73,439.64 is: 110,175.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,098.64 : 297,191.67 = 73,439.64 : x
  2. Step 2: Convert to fraction form
    198,098.64/297,191.67 = 73,439.64/x
  3. Step 3: Cross multiply
    198,098.64x = 297,191.67 × 73,439.64
  4. Step 4: Simplify right side
    198,098.64x = 21,825,649,255.80
  5. Step 5: Solve for x
    x = 21,825,649,255.80/198,098.64
  6. Step 6: Final answer
    x = 110,175.66

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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.