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Finding the Fourth Proportional to 198,195.74, 297,339.02 and 85,894.80

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Solution

The fourth proportional to 198,195.74, 297,339.02 and 85,894.80 is: 128,861.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,195.74 : 297,339.02 = 85,894.80 : x
  2. Step 2: Convert to fraction form
    198,195.74/297,339.02 = 85,894.80/x
  3. Step 3: Cross multiply
    198,195.74x = 297,339.02 × 85,894.80
  4. Step 4: Simplify right side
    198,195.74x = 25,539,875,655.10
  5. Step 5: Solve for x
    x = 25,539,875,655.10/198,195.74
  6. Step 6: Final answer
    x = 128,861.88

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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.