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Finding the Fourth Proportional to 198,193.74, 297,336.02 and 85,892.80

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Solution

The fourth proportional to 198,193.74, 297,336.02 and 85,892.80 is: 128,858.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,193.74 : 297,336.02 = 85,892.80 : x
  2. Step 2: Convert to fraction form
    198,193.74/297,336.02 = 85,892.80/x
  3. Step 3: Cross multiply
    198,193.74x = 297,336.02 × 85,892.80
  4. Step 4: Simplify right side
    198,193.74x = 25,539,023,298.66
  5. Step 5: Solve for x
    x = 25,539,023,298.66/198,193.74
  6. Step 6: Final answer
    x = 128,858.88

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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.