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Finding the Fourth Proportional to 120,513.80, 180,755.26 and 31,774.28

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Solution

The fourth proportional to 120,513.80, 180,755.26 and 31,774.28 is: 47,657.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,513.80 : 180,755.26 = 31,774.28 : x
  2. Step 2: Convert to fraction form
    120,513.80/180,755.26 = 31,774.28/x
  3. Step 3: Cross multiply
    120,513.80x = 180,755.26 × 31,774.28
  4. Step 4: Simplify right side
    120,513.80x = 5,743,368,242.71
  5. Step 5: Solve for x
    x = 5,743,368,242.71/120,513.80
  6. Step 6: Final answer
    x = 47,657.35

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