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Finding the Fourth Proportional to 218,213.20, 327,319.80 and 70,469.20

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Solution

The fourth proportional to 218,213.20, 327,319.80 and 70,469.20 is: 105,703.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,213.20 : 327,319.80 = 70,469.20 : x
  2. Step 2: Convert to fraction form
    218,213.20/327,319.80 = 70,469.20/x
  3. Step 3: Cross multiply
    218,213.20x = 327,319.80 × 70,469.20
  4. Step 4: Simplify right side
    218,213.20x = 23,065,964,450.16
  5. Step 5: Solve for x
    x = 23,065,964,450.16/218,213.20
  6. Step 6: Final answer
    x = 105,703.80

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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.