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Finding the Fourth Proportional to 102,415.64, 141,334.17 and 57,096.50

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Solution

The fourth proportional to 102,415.64, 141,334.17 and 57,096.50 is: 78,793.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,415.64 : 141,334.17 = 57,096.50 : x
  2. Step 2: Convert to fraction form
    102,415.64/141,334.17 = 57,096.50/x
  3. Step 3: Cross multiply
    102,415.64x = 141,334.17 × 57,096.50
  4. Step 4: Simplify right side
    102,415.64x = 8,069,686,437.41
  5. Step 5: Solve for x
    x = 8,069,686,437.41/102,415.64
  6. Step 6: Final answer
    x = 78,793.50

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