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Finding the Fourth Proportional to 262,957.10, 394,214.22 and 105,099.44

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Solution

The fourth proportional to 262,957.10, 394,214.22 and 105,099.44 is: 157,560.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,957.10 : 394,214.22 = 105,099.44 : x
  2. Step 2: Convert to fraction form
    262,957.10/394,214.22 = 105,099.44/x
  3. Step 3: Cross multiply
    262,957.10x = 394,214.22 × 105,099.44
  4. Step 4: Simplify right side
    262,957.10x = 41,431,694,747.57
  5. Step 5: Solve for x
    x = 41,431,694,747.57/262,957.10
  6. Step 6: Final answer
    x = 157,560.66

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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.