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Finding the Fourth Proportional to 267,927.20, 402,351.60 and 189,591.20

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Solution

The fourth proportional to 267,927.20, 402,351.60 and 189,591.20 is: 284,712.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,927.20 : 402,351.60 = 189,591.20 : x
  2. Step 2: Convert to fraction form
    267,927.20/402,351.60 = 189,591.20/x
  3. Step 3: Cross multiply
    267,927.20x = 402,351.60 × 189,591.20
  4. Step 4: Simplify right side
    267,927.20x = 76,282,322,665.92
  5. Step 5: Solve for x
    x = 76,282,322,665.92/267,927.20
  6. Step 6: Final answer
    x = 284,712.87

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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.