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Finding the Fourth Proportional to 146,542.80, 219,814.20 and 132,764.70

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Solution

The fourth proportional to 146,542.80, 219,814.20 and 132,764.70 is: 199,147.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,542.80 : 219,814.20 = 132,764.70 : x
  2. Step 2: Convert to fraction form
    146,542.80/219,814.20 = 132,764.70/x
  3. Step 3: Cross multiply
    146,542.80x = 219,814.20 × 132,764.70
  4. Step 4: Simplify right side
    146,542.80x = 29,183,566,318.74
  5. Step 5: Solve for x
    x = 29,183,566,318.74/146,542.80
  6. Step 6: Final answer
    x = 199,147.05

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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.