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Finding the Fourth Proportional to 205,735.24, 283,940.88 and 115,096.24

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Solution

The fourth proportional to 205,735.24, 283,940.88 and 115,096.24 is: 158,847.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,735.24 : 283,940.88 = 115,096.24 : x
  2. Step 2: Convert to fraction form
    205,735.24/283,940.88 = 115,096.24/x
  3. Step 3: Cross multiply
    205,735.24x = 283,940.88 × 115,096.24
  4. Step 4: Simplify right side
    205,735.24x = 32,680,527,670.29
  5. Step 5: Solve for x
    x = 32,680,527,670.29/205,735.24
  6. Step 6: Final answer
    x = 158,847.50

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