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Finding the Fourth Proportional to 102,198.78, 153,298.85 and 35,638.65

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Solution

The fourth proportional to 102,198.78, 153,298.85 and 35,638.65 is: 53,458.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,198.78 : 153,298.85 = 35,638.65 : x
  2. Step 2: Convert to fraction form
    102,198.78/153,298.85 = 35,638.65/x
  3. Step 3: Cross multiply
    102,198.78x = 153,298.85 × 35,638.65
  4. Step 4: Simplify right side
    102,198.78x = 5,463,364,183.06
  5. Step 5: Solve for x
    x = 5,463,364,183.06/102,198.78
  6. Step 6: Final answer
    x = 53,458.21

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