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Finding the Fourth Proportional to 205,095.78, 282,956.49 and 120,181.86

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Solution

The fourth proportional to 205,095.78, 282,956.49 and 120,181.86 is: 165,806.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,095.78 : 282,956.49 = 120,181.86 : x
  2. Step 2: Convert to fraction form
    205,095.78/282,956.49 = 120,181.86/x
  3. Step 3: Cross multiply
    205,095.78x = 282,956.49 × 120,181.86
  4. Step 4: Simplify right side
    205,095.78x = 34,006,237,267.27
  5. Step 5: Solve for x
    x = 34,006,237,267.27/205,095.78
  6. Step 6: Final answer
    x = 165,806.62

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