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Finding the Fourth Proportional to 262,902.35, 394,195.92 and 120,569.36

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Solution

The fourth proportional to 262,902.35, 394,195.92 and 120,569.36 is: 180,781.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,902.35 : 394,195.92 = 120,569.36 : x
  2. Step 2: Convert to fraction form
    262,902.35/394,195.92 = 120,569.36/x
  3. Step 3: Cross multiply
    262,902.35x = 394,195.92 × 120,569.36
  4. Step 4: Simplify right side
    262,902.35x = 47,527,947,365.90
  5. Step 5: Solve for x
    x = 47,527,947,365.90/262,902.35
  6. Step 6: Final answer
    x = 180,781.75

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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.