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Finding the Fourth Proportional to 167,584.91, 231,264.41 and 91,105.90

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Solution

The fourth proportional to 167,584.91, 231,264.41 and 91,105.90 is: 125,724.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,584.91 : 231,264.41 = 91,105.90 : x
  2. Step 2: Convert to fraction form
    167,584.91/231,264.41 = 91,105.90/x
  3. Step 3: Cross multiply
    167,584.91x = 231,264.41 × 91,105.90
  4. Step 4: Simplify right side
    167,584.91x = 21,069,551,177.33
  5. Step 5: Solve for x
    x = 21,069,551,177.33/167,584.91
  6. Step 6: Final answer
    x = 125,724.64

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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.