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Finding the Fourth Proportional to 102,205.76, 141,042.94 and 56,882.97

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Solution

The fourth proportional to 102,205.76, 141,042.94 and 56,882.97 is: 78,497.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,205.76 : 141,042.94 = 56,882.97 : x
  2. Step 2: Convert to fraction form
    102,205.76/141,042.94 = 56,882.97/x
  3. Step 3: Cross multiply
    102,205.76x = 141,042.94 × 56,882.97
  4. Step 4: Simplify right side
    102,205.76x = 8,022,941,182.52
  5. Step 5: Solve for x
    x = 8,022,941,182.52/102,205.76
  6. Step 6: Final answer
    x = 78,497.94

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