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Finding the Fourth Proportional to 205,364.80, 307,974.30 and 142,184.80

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Solution

The fourth proportional to 205,364.80, 307,974.30 and 142,184.80 is: 213,226.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,364.80 : 307,974.30 = 142,184.80 : x
  2. Step 2: Convert to fraction form
    205,364.80/307,974.30 = 142,184.80/x
  3. Step 3: Cross multiply
    205,364.80x = 307,974.30 × 142,184.80
  4. Step 4: Simplify right side
    205,364.80x = 43,789,264,250.64
  5. Step 5: Solve for x
    x = 43,789,264,250.64/205,364.80
  6. Step 6: Final answer
    x = 213,226.73

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