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Finding the Fourth Proportional to 105,993.64, 158,644.32 and 77,906.26

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Solution

The fourth proportional to 105,993.64, 158,644.32 and 77,906.26 is: 116,604.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,993.64 : 158,644.32 = 77,906.26 : x
  2. Step 2: Convert to fraction form
    105,993.64/158,644.32 = 77,906.26/x
  3. Step 3: Cross multiply
    105,993.64x = 158,644.32 × 77,906.26
  4. Step 4: Simplify right side
    105,993.64x = 12,359,385,641.44
  5. Step 5: Solve for x
    x = 12,359,385,641.44/105,993.64
  6. Step 6: Final answer
    x = 116,604.97

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