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Finding the Fourth Proportional to 105,584.94, 158,284.59 and 54,877.20

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Solution

The fourth proportional to 105,584.94, 158,284.59 and 54,877.20 is: 82,267.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,584.94 : 158,284.59 = 54,877.20 : x
  2. Step 2: Convert to fraction form
    105,584.94/158,284.59 = 54,877.20/x
  3. Step 3: Cross multiply
    105,584.94x = 158,284.59 × 54,877.20
  4. Step 4: Simplify right side
    105,584.94x = 8,686,215,102.35
  5. Step 5: Solve for x
    x = 8,686,215,102.35/105,584.94
  6. Step 6: Final answer
    x = 82,267.56

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