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Finding the Fourth Proportional to 262,956.35, 394,213.10 and 105,098.69

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Solution

The fourth proportional to 262,956.35, 394,213.10 and 105,098.69 is: 157,559.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,956.35 : 394,213.10 = 105,098.69 : x
  2. Step 2: Convert to fraction form
    262,956.35/394,213.10 = 105,098.69/x
  3. Step 3: Cross multiply
    262,956.35x = 394,213.10 × 105,098.69
  4. Step 4: Simplify right side
    262,956.35x = 41,431,280,850.88
  5. Step 5: Solve for x
    x = 41,431,280,850.88/262,956.35
  6. Step 6: Final answer
    x = 157,559.54

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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.