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Finding the Fourth Proportional to 262,876.56, 394,033.24 and 187,768.90

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Solution

The fourth proportional to 262,876.56, 394,033.24 and 187,768.90 is: 281,452.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,876.56 : 394,033.24 = 187,768.90 : x
  2. Step 2: Convert to fraction form
    262,876.56/394,033.24 = 187,768.90/x
  3. Step 3: Cross multiply
    262,876.56x = 394,033.24 × 187,768.90
  4. Step 4: Simplify right side
    262,876.56x = 73,987,188,038.24
  5. Step 5: Solve for x
    x = 73,987,188,038.24/262,876.56
  6. Step 6: Final answer
    x = 281,452.21

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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.