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Finding the Fourth Proportional to 332,181.46, 498,351.30 and 107,542

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Solution

The fourth proportional to 332,181.46, 498,351.30 and 107,542 is: 161,338.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,181.46 : 498,351.30 = 107,542 : x
  2. Step 2: Convert to fraction form
    332,181.46/498,351.30 = 107,542/x
  3. Step 3: Cross multiply
    332,181.46x = 498,351.30 × 107,542
  4. Step 4: Simplify right side
    332,181.46x = 53,593,695,504.60
  5. Step 5: Solve for x
    x = 53,593,695,504.60/332,181.46
  6. Step 6: Final answer
    x = 161,338.61

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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.