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Finding the Fourth Proportional to 262,691.56, 394,196.64 and 104,906.80

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Solution

The fourth proportional to 262,691.56, 394,196.64 and 104,906.80 is: 157,423.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,691.56 : 394,196.64 = 104,906.80 : x
  2. Step 2: Convert to fraction form
    262,691.56/394,196.64 = 104,906.80/x
  3. Step 3: Cross multiply
    262,691.56x = 394,196.64 × 104,906.80
  4. Step 4: Simplify right side
    262,691.56x = 41,353,908,073.15
  5. Step 5: Solve for x
    x = 41,353,908,073.15/262,691.56
  6. Step 6: Final answer
    x = 157,423.82

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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.