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Finding the Fourth Proportional to 205,500.78, 283,585.50 and 114,857.46

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Solution

The fourth proportional to 205,500.78, 283,585.50 and 114,857.46 is: 158,500.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,500.78 : 283,585.50 = 114,857.46 : x
  2. Step 2: Convert to fraction form
    205,500.78/283,585.50 = 114,857.46/x
  3. Step 3: Cross multiply
    205,500.78x = 283,585.50 × 114,857.46
  4. Step 4: Simplify right side
    205,500.78x = 32,571,910,222.83
  5. Step 5: Solve for x
    x = 32,571,910,222.83/205,500.78
  6. Step 6: Final answer
    x = 158,500.18

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