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Finding the Fourth Proportional to 205,153.82, 283,112.60 and 114,509.78

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Solution

The fourth proportional to 205,153.82, 283,112.60 and 114,509.78 is: 158,023.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,153.82 : 283,112.60 = 114,509.78 : x
  2. Step 2: Convert to fraction form
    205,153.82/283,112.60 = 114,509.78/x
  3. Step 3: Cross multiply
    205,153.82x = 283,112.60 × 114,509.78
  4. Step 4: Simplify right side
    205,153.82x = 32,419,159,553.12
  5. Step 5: Solve for x
    x = 32,419,159,553.12/205,153.82
  6. Step 6: Final answer
    x = 158,023.67

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