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Finding the Fourth Proportional to 106,098.82, 159,125.74 and 31,198.66

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Solution

The fourth proportional to 106,098.82, 159,125.74 and 31,198.66 is: 46,791.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,098.82 : 159,125.74 = 31,198.66 : x
  2. Step 2: Convert to fraction form
    106,098.82/159,125.74 = 31,198.66/x
  3. Step 3: Cross multiply
    106,098.82x = 159,125.74 × 31,198.66
  4. Step 4: Simplify right side
    106,098.82x = 4,964,508,907.89
  5. Step 5: Solve for x
    x = 4,964,508,907.89/106,098.82
  6. Step 6: Final answer
    x = 46,791.37

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