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Finding the Fourth Proportional to 137,200.64, 204,969.58 and 86,877.78

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Solution

The fourth proportional to 137,200.64, 204,969.58 and 86,877.78 is: 129,790.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,200.64 : 204,969.58 = 86,877.78 : x
  2. Step 2: Convert to fraction form
    137,200.64/204,969.58 = 86,877.78/x
  3. Step 3: Cross multiply
    137,200.64x = 204,969.58 × 86,877.78
  4. Step 4: Simplify right side
    137,200.64x = 17,807,302,077.93
  5. Step 5: Solve for x
    x = 17,807,302,077.93/137,200.64
  6. Step 6: Final answer
    x = 129,790.23

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