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Finding the Fourth Proportional to 234,266.38, 323,262.78 and 132,285.67

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Solution

The fourth proportional to 234,266.38, 323,262.78 and 132,285.67 is: 182,540.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,266.38 : 323,262.78 = 132,285.67 : x
  2. Step 2: Convert to fraction form
    234,266.38/323,262.78 = 132,285.67/x
  3. Step 3: Cross multiply
    234,266.38x = 323,262.78 × 132,285.67
  4. Step 4: Simplify right side
    234,266.38x = 42,763,033,438.36
  5. Step 5: Solve for x
    x = 42,763,033,438.36/234,266.38
  6. Step 6: Final answer
    x = 182,540.21

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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.