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Finding the Fourth Proportional to 262,754.40, 394,189.20 and 85,231.20

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Solution

The fourth proportional to 262,754.40, 394,189.20 and 85,231.20 is: 127,865.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,754.40 : 394,189.20 = 85,231.20 : x
  2. Step 2: Convert to fraction form
    262,754.40/394,189.20 = 85,231.20/x
  3. Step 3: Cross multiply
    262,754.40x = 394,189.20 × 85,231.20
  4. Step 4: Simplify right side
    262,754.40x = 33,597,218,543.04
  5. Step 5: Solve for x
    x = 33,597,218,543.04/262,754.40
  6. Step 6: Final answer
    x = 127,865.48

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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.