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Finding the Fourth Proportional to 109,509.09, 164,540.43 and 105,080.43

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Solution

The fourth proportional to 109,509.09, 164,540.43 and 105,080.43 is: 157,886.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,509.09 : 164,540.43 = 105,080.43 : x
  2. Step 2: Convert to fraction form
    109,509.09/164,540.43 = 105,080.43/x
  3. Step 3: Cross multiply
    109,509.09x = 164,540.43 × 105,080.43
  4. Step 4: Simplify right side
    109,509.09x = 17,289,979,136.78
  5. Step 5: Solve for x
    x = 17,289,979,136.78/109,509.09
  6. Step 6: Final answer
    x = 157,886.25

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