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Finding the Fourth Proportional to 102,456.64, 141,402.24 and 57,141.76

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Solution

The fourth proportional to 102,456.64, 141,402.24 and 57,141.76 is: 78,862.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,456.64 : 141,402.24 = 57,141.76 : x
  2. Step 2: Convert to fraction form
    102,456.64/141,402.24 = 57,141.76/x
  3. Step 3: Cross multiply
    102,456.64x = 141,402.24 × 57,141.76
  4. Step 4: Simplify right side
    102,456.64x = 8,079,972,861.54
  5. Step 5: Solve for x
    x = 8,079,972,861.54/102,456.64
  6. Step 6: Final answer
    x = 78,862.36

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