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Finding the Fourth Proportional to 107,704.98, 161,414.91 and 82,649.25

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Solution

The fourth proportional to 107,704.98, 161,414.91 and 82,649.25 is: 123,864.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,704.98 : 161,414.91 = 82,649.25 : x
  2. Step 2: Convert to fraction form
    107,704.98/161,414.91 = 82,649.25/x
  3. Step 3: Cross multiply
    107,704.98x = 161,414.91 × 82,649.25
  4. Step 4: Simplify right side
    107,704.98x = 13,340,821,250.32
  5. Step 5: Solve for x
    x = 13,340,821,250.32/107,704.98
  6. Step 6: Final answer
    x = 123,864.48

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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.