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Finding the Fourth Proportional to 234,614.88, 323,764.56 and 132,638.76

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Solution

The fourth proportional to 234,614.88, 323,764.56 and 132,638.76 is: 183,039.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,614.88 : 323,764.56 = 132,638.76 : x
  2. Step 2: Convert to fraction form
    234,614.88/323,764.56 = 132,638.76/x
  3. Step 3: Cross multiply
    234,614.88x = 323,764.56 × 132,638.76
  4. Step 4: Simplify right side
    234,614.88x = 42,943,729,770.35
  5. Step 5: Solve for x
    x = 42,943,729,770.35/234,614.88
  6. Step 6: Final answer
    x = 183,039.24

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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.