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Finding the Fourth Proportional to 167,833.04, 231,609.66 and 92,381

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Solution

The fourth proportional to 167,833.04, 231,609.66 and 92,381 is: 127,485.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,833.04 : 231,609.66 = 92,381 : x
  2. Step 2: Convert to fraction form
    167,833.04/231,609.66 = 92,381/x
  3. Step 3: Cross multiply
    167,833.04x = 231,609.66 × 92,381
  4. Step 4: Simplify right side
    167,833.04x = 21,396,332,000.46
  5. Step 5: Solve for x
    x = 21,396,332,000.46/167,833.04
  6. Step 6: Final answer
    x = 127,485.82

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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.