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Finding the Fourth Proportional to 171,899.82, 257,902.52 and 82,057.18

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Solution

The fourth proportional to 171,899.82, 257,902.52 and 82,057.18 is: 123,110.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,899.82 : 257,902.52 = 82,057.18 : x
  2. Step 2: Convert to fraction form
    171,899.82/257,902.52 = 82,057.18/x
  3. Step 3: Cross multiply
    171,899.82x = 257,902.52 × 82,057.18
  4. Step 4: Simplify right side
    171,899.82x = 21,162,753,396.19
  5. Step 5: Solve for x
    x = 21,162,753,396.19/171,899.82
  6. Step 6: Final answer
    x = 123,110.97

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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.