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Finding the Fourth Proportional to 218,137.20, 327,205.80 and 209,972.40

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Solution

The fourth proportional to 218,137.20, 327,205.80 and 209,972.40 is: 314,958.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,137.20 : 327,205.80 = 209,972.40 : x
  2. Step 2: Convert to fraction form
    218,137.20/327,205.80 = 209,972.40/x
  3. Step 3: Cross multiply
    218,137.20x = 327,205.80 × 209,972.40
  4. Step 4: Simplify right side
    218,137.20x = 68,704,187,119.92
  5. Step 5: Solve for x
    x = 68,704,187,119.92/218,137.20
  6. Step 6: Final answer
    x = 314,958.60

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1.5x scale

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.