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Finding the Fourth Proportional to 205,565.92, 283,682.92 and 120,684.40

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Solution

The fourth proportional to 205,565.92, 283,682.92 and 120,684.40 is: 166,545.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,565.92 : 283,682.92 = 120,684.40 : x
  2. Step 2: Convert to fraction form
    205,565.92/283,682.92 = 120,684.40/x
  3. Step 3: Cross multiply
    205,565.92x = 283,682.92 × 120,684.40
  4. Step 4: Simplify right side
    205,565.92x = 34,236,102,990.45
  5. Step 5: Solve for x
    x = 34,236,102,990.45/205,565.92
  6. Step 6: Final answer
    x = 166,545.62

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