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Finding the Fourth Proportional to 234,843.11, 351,811.31 and 140,148.97

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Solution

The fourth proportional to 234,843.11, 351,811.31 and 140,148.97 is: 209,952.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,843.11 : 351,811.31 = 140,148.97 : x
  2. Step 2: Convert to fraction form
    234,843.11/351,811.31 = 140,148.97/x
  3. Step 3: Cross multiply
    234,843.11x = 351,811.31 × 140,148.97
  4. Step 4: Simplify right side
    234,843.11x = 49,305,990,271.05
  5. Step 5: Solve for x
    x = 49,305,990,271.05/234,843.11
  6. Step 6: Final answer
    x = 209,952.89

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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.