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Finding the Fourth Proportional to 262,828.88, 394,246.20 and 75,842

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Solution

The fourth proportional to 262,828.88, 394,246.20 and 75,842 is: 113,763.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,828.88 : 394,246.20 = 75,842 : x
  2. Step 2: Convert to fraction form
    262,828.88/394,246.20 = 75,842/x
  3. Step 3: Cross multiply
    262,828.88x = 394,246.20 × 75,842
  4. Step 4: Simplify right side
    262,828.88x = 29,900,420,300.40
  5. Step 5: Solve for x
    x = 29,900,420,300.40/262,828.88
  6. Step 6: Final answer
    x = 113,763.83

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