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Finding the Fourth Proportional to 109,905.80, 164,858.70 and 82,257.80

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Solution

The fourth proportional to 109,905.80, 164,858.70 and 82,257.80 is: 123,386.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,905.80 : 164,858.70 = 82,257.80 : x
  2. Step 2: Convert to fraction form
    109,905.80/164,858.70 = 82,257.80/x
  3. Step 3: Cross multiply
    109,905.80x = 164,858.70 × 82,257.80
  4. Step 4: Simplify right side
    109,905.80x = 13,560,913,972.86
  5. Step 5: Solve for x
    x = 13,560,913,972.86/109,905.80
  6. Step 6: Final answer
    x = 123,386.70

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