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Finding the Fourth Proportional to 263,193.32, 394,940.46 and 111,378.44

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Solution

The fourth proportional to 263,193.32, 394,940.46 and 111,378.44 is: 167,131.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,193.32 : 394,940.46 = 111,378.44 : x
  2. Step 2: Convert to fraction form
    263,193.32/394,940.46 = 111,378.44/x
  3. Step 3: Cross multiply
    263,193.32x = 394,940.46 × 111,378.44
  4. Step 4: Simplify right side
    263,193.32x = 43,987,852,327.68
  5. Step 5: Solve for x
    x = 43,987,852,327.68/263,193.32
  6. Step 6: Final answer
    x = 167,131.34

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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.