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Finding the Fourth Proportional to 413,161.56, 619,770.42 and 132,661.80

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Solution

The fourth proportional to 413,161.56, 619,770.42 and 132,661.80 is: 199,001.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,161.56 : 619,770.42 = 132,661.80 : x
  2. Step 2: Convert to fraction form
    413,161.56/619,770.42 = 132,661.80/x
  3. Step 3: Cross multiply
    413,161.56x = 619,770.42 × 132,661.80
  4. Step 4: Simplify right side
    413,161.56x = 82,219,859,503.96
  5. Step 5: Solve for x
    x = 82,219,859,503.96/413,161.56
  6. Step 6: Final answer
    x = 199,001.72

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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.