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Finding the Fourth Proportional to 205,756.32, 283,951.80 and 120,872.64

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Solution

The fourth proportional to 205,756.32, 283,951.80 and 120,872.64 is: 166,808.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,756.32 : 283,951.80 = 120,872.64 : x
  2. Step 2: Convert to fraction form
    205,756.32/283,951.80 = 120,872.64/x
  3. Step 3: Cross multiply
    205,756.32x = 283,951.80 × 120,872.64
  4. Step 4: Simplify right side
    205,756.32x = 34,322,003,698.75
  5. Step 5: Solve for x
    x = 34,322,003,698.75/205,756.32
  6. Step 6: Final answer
    x = 166,808.99

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