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Finding the Fourth Proportional to 150,447.24, 207,609.48 and 86,781.24

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Solution

The fourth proportional to 150,447.24, 207,609.48 and 86,781.24 is: 119,753.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,447.24 : 207,609.48 = 86,781.24 : x
  2. Step 2: Convert to fraction form
    150,447.24/207,609.48 = 86,781.24/x
  3. Step 3: Cross multiply
    150,447.24x = 207,609.48 × 86,781.24
  4. Step 4: Simplify right side
    150,447.24x = 18,016,608,110.16
  5. Step 5: Solve for x
    x = 18,016,608,110.16/150,447.24
  6. Step 6: Final answer
    x = 119,753.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.