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Finding the Fourth Proportional to 119,023.83, 164,178.09 and 83,200.77

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Solution

The fourth proportional to 119,023.83, 164,178.09 and 83,200.77 is: 114,764.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,023.83 : 164,178.09 = 83,200.77 : x
  2. Step 2: Convert to fraction form
    119,023.83/164,178.09 = 83,200.77/x
  3. Step 3: Cross multiply
    119,023.83x = 164,178.09 × 83,200.77
  4. Step 4: Simplify right side
    119,023.83x = 13,659,743,505.13
  5. Step 5: Solve for x
    x = 13,659,743,505.13/119,023.83
  6. Step 6: Final answer
    x = 114,764.78

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