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Finding the Fourth Proportional to 106,868.16, 160,295.76 and 27,980.64

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Solution

The fourth proportional to 106,868.16, 160,295.76 and 27,980.64 is: 41,969.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,868.16 : 160,295.76 = 27,980.64 : x
  2. Step 2: Convert to fraction form
    106,868.16/160,295.76 = 27,980.64/x
  3. Step 3: Cross multiply
    106,868.16x = 160,295.76 × 27,980.64
  4. Step 4: Simplify right side
    106,868.16x = 4,485,177,954.09
  5. Step 5: Solve for x
    x = 4,485,177,954.09/106,868.16
  6. Step 6: Final answer
    x = 41,969.26

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