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Finding the Fourth Proportional to 205,762.32, 283,960.08 and 120,878.64

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Solution

The fourth proportional to 205,762.32, 283,960.08 and 120,878.64 is: 166,817.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,762.32 : 283,960.08 = 120,878.64 : x
  2. Step 2: Convert to fraction form
    205,762.32/283,960.08 = 120,878.64/x
  3. Step 3: Cross multiply
    205,762.32x = 283,960.08 × 120,878.64
  4. Step 4: Simplify right side
    205,762.32x = 34,324,708,284.69
  5. Step 5: Solve for x
    x = 34,324,708,284.69/205,762.32
  6. Step 6: Final answer
    x = 166,817.27

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