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Finding the Fourth Proportional to 218,231.73, 327,170.88 and 98,200.53

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Solution

The fourth proportional to 218,231.73, 327,170.88 and 98,200.53 is: 147,221.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,231.73 : 327,170.88 = 98,200.53 : x
  2. Step 2: Convert to fraction form
    218,231.73/327,170.88 = 98,200.53/x
  3. Step 3: Cross multiply
    218,231.73x = 327,170.88 × 98,200.53
  4. Step 4: Simplify right side
    218,231.73x = 32,128,353,816.57
  5. Step 5: Solve for x
    x = 32,128,353,816.57/218,231.73
  6. Step 6: Final answer
    x = 147,221.28

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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.