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Finding the Fourth Proportional to 78,193.24, 107,906.75 and 42,383.24

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Solution

The fourth proportional to 78,193.24, 107,906.75 and 42,383.24 is: 58,488.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,193.24 : 107,906.75 = 42,383.24 : x
  2. Step 2: Convert to fraction form
    78,193.24/107,906.75 = 42,383.24/x
  3. Step 3: Cross multiply
    78,193.24x = 107,906.75 × 42,383.24
  4. Step 4: Simplify right side
    78,193.24x = 4,573,437,682.87
  5. Step 5: Solve for x
    x = 4,573,437,682.87/78,193.24
  6. Step 6: Final answer
    x = 58,488.91

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