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Finding the Fourth Proportional to 132,103.44, 182,326.14 and 78,418.17

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Solution

The fourth proportional to 132,103.44, 182,326.14 and 78,418.17 is: 108,230.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,103.44 : 182,326.14 = 78,418.17 : x
  2. Step 2: Convert to fraction form
    132,103.44/182,326.14 = 78,418.17/x
  3. Step 3: Cross multiply
    132,103.44x = 182,326.14 × 78,418.17
  4. Step 4: Simplify right side
    132,103.44x = 14,297,682,241.96
  5. Step 5: Solve for x
    x = 14,297,682,241.96/132,103.44
  6. Step 6: Final answer
    x = 108,230.96

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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.