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Finding the Fourth Proportional to 205,849.60, 308,963.84 and 106,078.56

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Solution

The fourth proportional to 205,849.60, 308,963.84 and 106,078.56 is: 159,215.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,849.60 : 308,963.84 = 106,078.56 : x
  2. Step 2: Convert to fraction form
    205,849.60/308,963.84 = 106,078.56/x
  3. Step 3: Cross multiply
    205,849.60x = 308,963.84 × 106,078.56
  4. Step 4: Simplify right side
    205,849.60x = 32,774,439,239.27
  5. Step 5: Solve for x
    x = 32,774,439,239.27/205,849.60
  6. Step 6: Final answer
    x = 159,215.46

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