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Finding the Fourth Proportional to 198,099.64, 297,193.17 and 73,440.64

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Solution

The fourth proportional to 198,099.64, 297,193.17 and 73,440.64 is: 110,177.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,099.64 : 297,193.17 = 73,440.64 : x
  2. Step 2: Convert to fraction form
    198,099.64/297,193.17 = 73,440.64/x
  3. Step 3: Cross multiply
    198,099.64x = 297,193.17 × 73,440.64
  4. Step 4: Simplify right side
    198,099.64x = 21,826,056,608.43
  5. Step 5: Solve for x
    x = 21,826,056,608.43/198,099.64
  6. Step 6: Final answer
    x = 110,177.16

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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.