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Finding the Fourth Proportional to 111,757.24, 167,746.02 and 82,091.80

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Solution

The fourth proportional to 111,757.24, 167,746.02 and 82,091.80 is: 123,218.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,757.24 : 167,746.02 = 82,091.80 : x
  2. Step 2: Convert to fraction form
    111,757.24/167,746.02 = 82,091.80/x
  3. Step 3: Cross multiply
    111,757.24x = 167,746.02 × 82,091.80
  4. Step 4: Simplify right side
    111,757.24x = 13,770,572,724.64
  5. Step 5: Solve for x
    x = 13,770,572,724.64/111,757.24
  6. Step 6: Final answer
    x = 123,218.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.