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Finding the Fourth Proportional to 205,828.14, 308,243.93 and 142,470.75

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Solution

The fourth proportional to 205,828.14, 308,243.93 and 142,470.75 is: 213,361.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,828.14 : 308,243.93 = 142,470.75 : x
  2. Step 2: Convert to fraction form
    205,828.14/308,243.93 = 142,470.75/x
  3. Step 3: Cross multiply
    205,828.14x = 308,243.93 × 142,470.75
  4. Step 4: Simplify right side
    205,828.14x = 43,915,744,333.61
  5. Step 5: Solve for x
    x = 43,915,744,333.61/205,828.14
  6. Step 6: Final answer
    x = 213,361.22

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