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Finding the Fourth Proportional to 270,107.62, 372,747.09 and 149,257.24

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Solution

The fourth proportional to 270,107.62, 372,747.09 and 149,257.24 is: 205,974.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,107.62 : 372,747.09 = 149,257.24 : x
  2. Step 2: Convert to fraction form
    270,107.62/372,747.09 = 149,257.24/x
  3. Step 3: Cross multiply
    270,107.62x = 372,747.09 × 149,257.24
  4. Step 4: Simplify right side
    270,107.62x = 55,635,201,871.43
  5. Step 5: Solve for x
    x = 55,635,201,871.43/270,107.62
  6. Step 6: Final answer
    x = 205,974.20

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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.