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Finding the Fourth Proportional to 218,738.40, 328,107.60 and 187,245.60

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Solution

The fourth proportional to 218,738.40, 328,107.60 and 187,245.60 is: 280,868.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,738.40 : 328,107.60 = 187,245.60 : x
  2. Step 2: Convert to fraction form
    218,738.40/328,107.60 = 187,245.60/x
  3. Step 3: Cross multiply
    218,738.40x = 328,107.60 × 187,245.60
  4. Step 4: Simplify right side
    218,738.40x = 61,436,704,426.56
  5. Step 5: Solve for x
    x = 61,436,704,426.56/218,738.40
  6. Step 6: Final answer
    x = 280,868.40

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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.