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Finding the Fourth Proportional to 318,105, 438,996.42 and 182,163.24

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Solution

The fourth proportional to 318,105, 438,996.42 and 182,163.24 is: 251,391.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,105 : 438,996.42 = 182,163.24 : x
  2. Step 2: Convert to fraction form
    318,105/438,996.42 = 182,163.24/x
  3. Step 3: Cross multiply
    318,105x = 438,996.42 × 182,163.24
  4. Step 4: Simplify right side
    318,105x = 79,969,010,215.60
  5. Step 5: Solve for x
    x = 79,969,010,215.60/318,105
  6. Step 6: Final answer
    x = 251,391.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.