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Finding the Fourth Proportional to 268,711.86, 402,181.92 and 148,584.15

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Solution

The fourth proportional to 268,711.86, 402,181.92 and 148,584.15 is: 222,386.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,711.86 : 402,181.92 = 148,584.15 : x
  2. Step 2: Convert to fraction form
    268,711.86/402,181.92 = 148,584.15/x
  3. Step 3: Cross multiply
    268,711.86x = 402,181.92 × 148,584.15
  4. Step 4: Simplify right side
    268,711.86x = 59,757,858,728.57
  5. Step 5: Solve for x
    x = 59,757,858,728.57/268,711.86
  6. Step 6: Final answer
    x = 222,386.38

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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.