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Finding the Fourth Proportional to 205,732.96, 283,875.78 and 120,867.64

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Solution

The fourth proportional to 205,732.96, 283,875.78 and 120,867.64 is: 166,776.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,732.96 : 283,875.78 = 120,867.64 : x
  2. Step 2: Convert to fraction form
    205,732.96/283,875.78 = 120,867.64/x
  3. Step 3: Cross multiply
    205,732.96x = 283,875.78 × 120,867.64
  4. Step 4: Simplify right side
    205,732.96x = 34,311,395,581.76
  5. Step 5: Solve for x
    x = 34,311,395,581.76/205,732.96
  6. Step 6: Final answer
    x = 166,776.37

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