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Finding the Fourth Proportional to 120,196.98, 180,305.73 and 31,450.41

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Solution

The fourth proportional to 120,196.98, 180,305.73 and 31,450.41 is: 47,178.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,196.98 : 180,305.73 = 31,450.41 : x
  2. Step 2: Convert to fraction form
    120,196.98/180,305.73 = 31,450.41/x
  3. Step 3: Cross multiply
    120,196.98x = 180,305.73 × 31,450.41
  4. Step 4: Simplify right side
    120,196.98x = 5,670,689,133.85
  5. Step 5: Solve for x
    x = 5,670,689,133.85/120,196.98
  6. Step 6: Final answer
    x = 47,178.30

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