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Finding the Fourth Proportional to 263,140.80, 394,711.20 and 144,751.20

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Solution

The fourth proportional to 263,140.80, 394,711.20 and 144,751.20 is: 217,126.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,140.80 : 394,711.20 = 144,751.20 : x
  2. Step 2: Convert to fraction form
    263,140.80/394,711.20 = 144,751.20/x
  3. Step 3: Cross multiply
    263,140.80x = 394,711.20 × 144,751.20
  4. Step 4: Simplify right side
    263,140.80x = 57,134,919,853.44
  5. Step 5: Solve for x
    x = 57,134,919,853.44/263,140.80
  6. Step 6: Final answer
    x = 217,126.80

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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.