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Finding the Fourth Proportional to 218,584.20, 328,022.10 and 100,194.60

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Solution

The fourth proportional to 218,584.20, 328,022.10 and 100,194.60 is: 150,358.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,584.20 : 328,022.10 = 100,194.60 : x
  2. Step 2: Convert to fraction form
    218,584.20/328,022.10 = 100,194.60/x
  3. Step 3: Cross multiply
    218,584.20x = 328,022.10 × 100,194.60
  4. Step 4: Simplify right side
    218,584.20x = 32,866,043,100.66
  5. Step 5: Solve for x
    x = 32,866,043,100.66/218,584.20
  6. Step 6: Final answer
    x = 150,358.73

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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.