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Finding the Fourth Proportional to 263,105.30, 394,652.48 and 105,291.38

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Solution

The fourth proportional to 263,105.30, 394,652.48 and 105,291.38 is: 157,934.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,105.30 : 394,652.48 = 105,291.38 : x
  2. Step 2: Convert to fraction form
    263,105.30/394,652.48 = 105,291.38/x
  3. Step 3: Cross multiply
    263,105.30x = 394,652.48 × 105,291.38
  4. Step 4: Simplify right side
    263,105.30x = 41,553,501,739.90
  5. Step 5: Solve for x
    x = 41,553,501,739.90/263,105.30
  6. Step 6: Final answer
    x = 157,934.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.