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Finding the Fourth Proportional to 102,187.82, 153,304.79 and 31,116.80

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Solution

The fourth proportional to 102,187.82, 153,304.79 and 31,116.80 is: 46,682.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,187.82 : 153,304.79 = 31,116.80 : x
  2. Step 2: Convert to fraction form
    102,187.82/153,304.79 = 31,116.80/x
  3. Step 3: Cross multiply
    102,187.82x = 153,304.79 × 31,116.80
  4. Step 4: Simplify right side
    102,187.82x = 4,770,354,717.15
  5. Step 5: Solve for x
    x = 4,770,354,717.15/102,187.82
  6. Step 6: Final answer
    x = 46,682.23

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