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Finding the Fourth Proportional to 198,205.38, 297,353.46 and 85,904.46

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Solution

The fourth proportional to 198,205.38, 297,353.46 and 85,904.46 is: 128,876.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,205.38 : 297,353.46 = 85,904.46 : x
  2. Step 2: Convert to fraction form
    198,205.38/297,353.46 = 85,904.46/x
  3. Step 3: Cross multiply
    198,205.38x = 297,353.46 × 85,904.46
  4. Step 4: Simplify right side
    198,205.38x = 25,543,988,410.43
  5. Step 5: Solve for x
    x = 25,543,988,410.43/198,205.38
  6. Step 6: Final answer
    x = 128,876.36

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1.5x scale

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.