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Finding the Fourth Proportional to 105,198.96, 145,078.40 and 82,231.82

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Solution

The fourth proportional to 105,198.96, 145,078.40 and 82,231.82 is: 113,404.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,198.96 : 145,078.40 = 82,231.82 : x
  2. Step 2: Convert to fraction form
    105,198.96/145,078.40 = 82,231.82/x
  3. Step 3: Cross multiply
    105,198.96x = 145,078.40 × 82,231.82
  4. Step 4: Simplify right side
    105,198.96x = 11,930,060,874.69
  5. Step 5: Solve for x
    x = 11,930,060,874.69/105,198.96
  6. Step 6: Final answer
    x = 113,404.74

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