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Finding the Fourth Proportional to 106,456.38, 159,795.34 and 78,408.12

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Solution

The fourth proportional to 106,456.38, 159,795.34 and 78,408.12 is: 117,693.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,456.38 : 159,795.34 = 78,408.12 : x
  2. Step 2: Convert to fraction form
    106,456.38/159,795.34 = 78,408.12/x
  3. Step 3: Cross multiply
    106,456.38x = 159,795.34 × 78,408.12
  4. Step 4: Simplify right side
    106,456.38x = 12,529,252,194.16
  5. Step 5: Solve for x
    x = 12,529,252,194.16/106,456.38
  6. Step 6: Final answer
    x = 117,693.77

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