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Finding the Fourth Proportional to 205,992.60, 309,156.51 and 106,181.33

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Solution

The fourth proportional to 205,992.60, 309,156.51 and 106,181.33 is: 159,358.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,992.60 : 309,156.51 = 106,181.33 : x
  2. Step 2: Convert to fraction form
    205,992.60/309,156.51 = 106,181.33/x
  3. Step 3: Cross multiply
    205,992.60x = 309,156.51 × 106,181.33
  4. Step 4: Simplify right side
    205,992.60x = 32,826,650,001.36
  5. Step 5: Solve for x
    x = 32,826,650,001.36/205,992.60
  6. Step 6: Final answer
    x = 159,358.39

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