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Finding the Fourth Proportional to 267,651.76, 369,359.42 and 148,419.76

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Solution

The fourth proportional to 267,651.76, 369,359.42 and 148,419.76 is: 204,819.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,651.76 : 369,359.42 = 148,419.76 : x
  2. Step 2: Convert to fraction form
    267,651.76/369,359.42 = 148,419.76/x
  3. Step 3: Cross multiply
    267,651.76x = 369,359.42 × 148,419.76
  4. Step 4: Simplify right side
    267,651.76x = 54,820,236,470.14
  5. Step 5: Solve for x
    x = 54,820,236,470.14/267,651.76
  6. Step 6: Final answer
    x = 204,819.26

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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.