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Finding the Fourth Proportional to 218,584.70, 328,022.85 and 100,195.10

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Solution

The fourth proportional to 218,584.70, 328,022.85 and 100,195.10 is: 150,359.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,584.70 : 328,022.85 = 100,195.10 : x
  2. Step 2: Convert to fraction form
    218,584.70/328,022.85 = 100,195.10/x
  3. Step 3: Cross multiply
    218,584.70x = 328,022.85 × 100,195.10
  4. Step 4: Simplify right side
    218,584.70x = 32,866,282,258.04
  5. Step 5: Solve for x
    x = 32,866,282,258.04/218,584.70
  6. Step 6: Final answer
    x = 150,359.48

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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.