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Finding the Fourth Proportional to 234,265.38, 323,261.40 and 132,284.67

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Solution

The fourth proportional to 234,265.38, 323,261.40 and 132,284.67 is: 182,538.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,265.38 : 323,261.40 = 132,284.67 : x
  2. Step 2: Convert to fraction form
    234,265.38/323,261.40 = 132,284.67/x
  3. Step 3: Cross multiply
    234,265.38x = 323,261.40 × 132,284.67
  4. Step 4: Simplify right side
    234,265.38x = 42,762,526,006.43
  5. Step 5: Solve for x
    x = 42,762,526,006.43/234,265.38
  6. Step 6: Final answer
    x = 182,538.82

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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.