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Finding the Fourth Proportional to 82,405.89, 123,608.79 and 78,198.64

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Solution

The fourth proportional to 82,405.89, 123,608.79 and 78,198.64 is: 117,297.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,405.89 : 123,608.79 = 78,198.64 : x
  2. Step 2: Convert to fraction form
    82,405.89/123,608.79 = 78,198.64/x
  3. Step 3: Cross multiply
    82,405.89x = 123,608.79 × 78,198.64
  4. Step 4: Simplify right side
    82,405.89x = 9,666,038,961.02
  5. Step 5: Solve for x
    x = 9,666,038,961.02/82,405.89
  6. Step 6: Final answer
    x = 117,297.91

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