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Finding the Fourth Proportional to 218,608.80, 327,767.40 and 100,219.20

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Solution

The fourth proportional to 218,608.80, 327,767.40 and 100,219.20 is: 150,261.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,608.80 : 327,767.40 = 100,219.20 : x
  2. Step 2: Convert to fraction form
    218,608.80/327,767.40 = 100,219.20/x
  3. Step 3: Cross multiply
    218,608.80x = 327,767.40 × 100,219.20
  4. Step 4: Simplify right side
    218,608.80x = 32,848,586,614.08
  5. Step 5: Solve for x
    x = 32,848,586,614.08/218,608.80
  6. Step 6: Final answer
    x = 150,261.96

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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.