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Finding the Fourth Proportional to 269,694.28, 404,585.16 and 101,227.78

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Solution

The fourth proportional to 269,694.28, 404,585.16 and 101,227.78 is: 151,858.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,694.28 : 404,585.16 = 101,227.78 : x
  2. Step 2: Convert to fraction form
    269,694.28/404,585.16 = 101,227.78/x
  3. Step 3: Cross multiply
    269,694.28x = 404,585.16 × 101,227.78
  4. Step 4: Simplify right side
    269,694.28x = 40,955,257,567.74
  5. Step 5: Solve for x
    x = 40,955,257,567.74/269,694.28
  6. Step 6: Final answer
    x = 151,858.09

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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.