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Finding the Fourth Proportional to 205,991.38, 309,154.68 and 106,180.12

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Solution

The fourth proportional to 205,991.38, 309,154.68 and 106,180.12 is: 159,356.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,991.38 : 309,154.68 = 106,180.12 : x
  2. Step 2: Convert to fraction form
    205,991.38/309,154.68 = 106,180.12/x
  3. Step 3: Cross multiply
    205,991.38x = 309,154.68 × 106,180.12
  4. Step 4: Simplify right side
    205,991.38x = 32,826,080,646.25
  5. Step 5: Solve for x
    x = 32,826,080,646.25/205,991.38
  6. Step 6: Final answer
    x = 159,356.57

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