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Finding the Fourth Proportional to 120,516.80, 180,759.76 and 31,777.28

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Solution

The fourth proportional to 120,516.80, 180,759.76 and 31,777.28 is: 47,661.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,516.80 : 180,759.76 = 31,777.28 : x
  2. Step 2: Convert to fraction form
    120,516.80/180,759.76 = 31,777.28/x
  3. Step 3: Cross multiply
    120,516.80x = 180,759.76 × 31,777.28
  4. Step 4: Simplify right side
    120,516.80x = 5,744,053,506.25
  5. Step 5: Solve for x
    x = 5,744,053,506.25/120,516.80
  6. Step 6: Final answer
    x = 47,661.85

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