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Finding the Fourth Proportional to 268,708.86, 402,177.42 and 148,581.14

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Solution

The fourth proportional to 268,708.86, 402,177.42 and 148,581.14 is: 222,381.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,708.86 : 402,177.42 = 148,581.14 : x
  2. Step 2: Convert to fraction form
    268,708.86/402,177.42 = 148,581.14/x
  3. Step 3: Cross multiply
    268,708.86x = 402,177.42 × 148,581.14
  4. Step 4: Simplify right side
    268,708.86x = 59,755,977,534.97
  5. Step 5: Solve for x
    x = 59,755,977,534.97/268,708.86
  6. Step 6: Final answer
    x = 222,381.87

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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.