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Finding the Fourth Proportional to 198,489.46, 297,733.74 and 86,155.12

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Solution

The fourth proportional to 198,489.46, 297,733.74 and 86,155.12 is: 129,232.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,489.46 : 297,733.74 = 86,155.12 : x
  2. Step 2: Convert to fraction form
    198,489.46/297,733.74 = 86,155.12/x
  3. Step 3: Cross multiply
    198,489.46x = 297,733.74 × 86,155.12
  4. Step 4: Simplify right side
    198,489.46x = 25,651,286,097.75
  5. Step 5: Solve for x
    x = 25,651,286,097.75/198,489.46
  6. Step 6: Final answer
    x = 129,232.48

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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.