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Finding the Fourth Proportional to 263,043.20, 394,726.80 and 113,355.20

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Solution

The fourth proportional to 263,043.20, 394,726.80 and 113,355.20 is: 170,102.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,043.20 : 394,726.80 = 113,355.20 : x
  2. Step 2: Convert to fraction form
    263,043.20/394,726.80 = 113,355.20/x
  3. Step 3: Cross multiply
    263,043.20x = 394,726.80 × 113,355.20
  4. Step 4: Simplify right side
    263,043.20x = 44,744,335,359.36
  5. Step 5: Solve for x
    x = 44,744,335,359.36/263,043.20
  6. Step 6: Final answer
    x = 170,102.61

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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.