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Finding the Fourth Proportional to 218,149.80, 327,246.30 and 75,973.20

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Solution

The fourth proportional to 218,149.80, 327,246.30 and 75,973.20 is: 113,967.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,149.80 : 327,246.30 = 75,973.20 : x
  2. Step 2: Convert to fraction form
    218,149.80/327,246.30 = 75,973.20/x
  3. Step 3: Cross multiply
    218,149.80x = 327,246.30 × 75,973.20
  4. Step 4: Simplify right side
    218,149.80x = 24,861,948,599.16
  5. Step 5: Solve for x
    x = 24,861,948,599.16/218,149.80
  6. Step 6: Final answer
    x = 113,967.32

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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.