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Finding the Fourth Proportional to 109,538.82, 164,239.56 and 50,298.48

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Solution

The fourth proportional to 109,538.82, 164,239.56 and 50,298.48 is: 75,416.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,538.82 : 164,239.56 = 50,298.48 : x
  2. Step 2: Convert to fraction form
    109,538.82/164,239.56 = 50,298.48/x
  3. Step 3: Cross multiply
    109,538.82x = 164,239.56 × 50,298.48
  4. Step 4: Simplify right side
    109,538.82x = 8,261,000,223.87
  5. Step 5: Solve for x
    x = 8,261,000,223.87/109,538.82
  6. Step 6: Final answer
    x = 75,416.19

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