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Finding the Fourth Proportional to 167,965.38, 231,822.45 and 96,369.12

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Solution

The fourth proportional to 167,965.38, 231,822.45 and 96,369.12 is: 133,006.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,965.38 : 231,822.45 = 96,369.12 : x
  2. Step 2: Convert to fraction form
    167,965.38/231,822.45 = 96,369.12/x
  3. Step 3: Cross multiply
    167,965.38x = 231,822.45 × 96,369.12
  4. Step 4: Simplify right side
    167,965.38x = 22,340,525,502.74
  5. Step 5: Solve for x
    x = 22,340,525,502.74/167,965.38
  6. Step 6: Final answer
    x = 133,006.73

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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.