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Finding the Fourth Proportional to 102,013.85, 153,020.78 and 54,774.65

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Solution

The fourth proportional to 102,013.85, 153,020.78 and 54,774.65 is: 82,161.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,013.85 : 153,020.78 = 54,774.65 : x
  2. Step 2: Convert to fraction form
    102,013.85/153,020.78 = 54,774.65/x
  3. Step 3: Cross multiply
    102,013.85x = 153,020.78 × 54,774.65
  4. Step 4: Simplify right side
    102,013.85x = 8,381,659,393.35
  5. Step 5: Solve for x
    x = 8,381,659,393.35/102,013.85
  6. Step 6: Final answer
    x = 82,161.98

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