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Finding the Fourth Proportional to 205,112.75, 283,069.80 and 114,486.35

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Solution

The fourth proportional to 205,112.75, 283,069.80 and 114,486.35 is: 157,999.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,112.75 : 283,069.80 = 114,486.35 : x
  2. Step 2: Convert to fraction form
    205,112.75/283,069.80 = 114,486.35/x
  3. Step 3: Cross multiply
    205,112.75x = 283,069.80 × 114,486.35
  4. Step 4: Simplify right side
    205,112.75x = 32,407,627,624.80
  5. Step 5: Solve for x
    x = 32,407,627,624.80/205,112.75
  6. Step 6: Final answer
    x = 157,999.09

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