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Finding the Fourth Proportional to 139,729.20, 209,593.80 and 100,654.80

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Solution

The fourth proportional to 139,729.20, 209,593.80 and 100,654.80 is: 150,982.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,729.20 : 209,593.80 = 100,654.80 : x
  2. Step 2: Convert to fraction form
    139,729.20/209,593.80 = 100,654.80/x
  3. Step 3: Cross multiply
    139,729.20x = 209,593.80 × 100,654.80
  4. Step 4: Simplify right side
    139,729.20x = 21,096,622,020.24
  5. Step 5: Solve for x
    x = 21,096,622,020.24/139,729.20
  6. Step 6: Final answer
    x = 150,982.20

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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.