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Finding the Fourth Proportional to 263,132.23, 394,723.21 and 73,592.54

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Solution

The fourth proportional to 263,132.23, 394,723.21 and 73,592.54 is: 110,395.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,132.23 : 394,723.21 = 73,592.54 : x
  2. Step 2: Convert to fraction form
    263,132.23/394,723.21 = 73,592.54/x
  3. Step 3: Cross multiply
    263,132.23x = 394,723.21 × 73,592.54
  4. Step 4: Simplify right side
    263,132.23x = 29,048,683,620.85
  5. Step 5: Solve for x
    x = 29,048,683,620.85/263,132.23
  6. Step 6: Final answer
    x = 110,395.76

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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.