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Finding the Fourth Proportional to 198,502.67, 297,586.60 and 86,098.23

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Solution

The fourth proportional to 198,502.67, 297,586.60 and 86,098.23 is: 129,074.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,502.67 : 297,586.60 = 86,098.23 : x
  2. Step 2: Convert to fraction form
    198,502.67/297,586.60 = 86,098.23/x
  3. Step 3: Cross multiply
    198,502.67x = 297,586.60 × 86,098.23
  4. Step 4: Simplify right side
    198,502.67x = 25,621,679,316.47
  5. Step 5: Solve for x
    x = 25,621,679,316.47/198,502.67
  6. Step 6: Final answer
    x = 129,074.73

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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.