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Finding the Fourth Proportional to 205,563.92, 283,680.16 and 120,682.40

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Solution

The fourth proportional to 205,563.92, 283,680.16 and 120,682.40 is: 166,542.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,563.92 : 283,680.16 = 120,682.40 : x
  2. Step 2: Convert to fraction form
    205,563.92/283,680.16 = 120,682.40/x
  3. Step 3: Cross multiply
    205,563.92x = 283,680.16 × 120,682.40
  4. Step 4: Simplify right side
    205,563.92x = 34,235,202,541.18
  5. Step 5: Solve for x
    x = 34,235,202,541.18/205,563.92
  6. Step 6: Final answer
    x = 166,542.86

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