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Finding the Fourth Proportional to 102,016.40, 153,024.60 and 75,772.40

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Solution

The fourth proportional to 102,016.40, 153,024.60 and 75,772.40 is: 113,658.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,016.40 : 153,024.60 = 75,772.40 : x
  2. Step 2: Convert to fraction form
    102,016.40/153,024.60 = 75,772.40/x
  3. Step 3: Cross multiply
    102,016.40x = 153,024.60 × 75,772.40
  4. Step 4: Simplify right side
    102,016.40x = 11,595,041,201.04
  5. Step 5: Solve for x
    x = 11,595,041,201.04/102,016.40
  6. Step 6: Final answer
    x = 113,658.60

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