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Finding the Fourth Proportional to 234,174.38, 323,168.47 and 143,512.82

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Solution

The fourth proportional to 234,174.38, 323,168.47 and 143,512.82 is: 198,052.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,174.38 : 323,168.47 = 143,512.82 : x
  2. Step 2: Convert to fraction form
    234,174.38/323,168.47 = 143,512.82/x
  3. Step 3: Cross multiply
    234,174.38x = 323,168.47 × 143,512.82
  4. Step 4: Simplify right side
    234,174.38x = 46,378,817,747.22
  5. Step 5: Solve for x
    x = 46,378,817,747.22/234,174.38
  6. Step 6: Final answer
    x = 198,052.49

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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.