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Finding the Fourth Proportional to 205,845.50, 284,066.80 and 111,637.50

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Solution

The fourth proportional to 205,845.50, 284,066.80 and 111,637.50 is: 154,059.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,845.50 : 284,066.80 = 111,637.50 : x
  2. Step 2: Convert to fraction form
    205,845.50/284,066.80 = 111,637.50/x
  3. Step 3: Cross multiply
    205,845.50x = 284,066.80 × 111,637.50
  4. Step 4: Simplify right side
    205,845.50x = 31,712,507,385
  5. Step 5: Solve for x
    x = 31,712,507,385/205,845.50
  6. Step 6: Final answer
    x = 154,059.76

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