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Finding the Fourth Proportional to 161,027.70, 241,347.15 and 82,101.30

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Solution

The fourth proportional to 161,027.70, 241,347.15 and 82,101.30 is: 123,052.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,027.70 : 241,347.15 = 82,101.30 : x
  2. Step 2: Convert to fraction form
    161,027.70/241,347.15 = 82,101.30/x
  3. Step 3: Cross multiply
    161,027.70x = 241,347.15 × 82,101.30
  4. Step 4: Simplify right side
    161,027.70x = 19,814,914,766.30
  5. Step 5: Solve for x
    x = 19,814,914,766.30/161,027.70
  6. Step 6: Final answer
    x = 123,052.83

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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.