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Finding the Fourth Proportional to 263,141.66, 394,652.96 and 120,850.14

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Solution

The fourth proportional to 263,141.66, 394,652.96 and 120,850.14 is: 181,247.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,141.66 : 394,652.96 = 120,850.14 : x
  2. Step 2: Convert to fraction form
    263,141.66/394,652.96 = 120,850.14/x
  3. Step 3: Cross multiply
    263,141.66x = 394,652.96 × 120,850.14
  4. Step 4: Simplify right side
    263,141.66x = 47,693,864,863.16
  5. Step 5: Solve for x
    x = 47,693,864,863.16/263,141.66
  6. Step 6: Final answer
    x = 181,247.87

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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.