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Finding the Fourth Proportional to 106,205.46, 159,307.98 and 31,378.16

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Solution

The fourth proportional to 106,205.46, 159,307.98 and 31,378.16 is: 47,067.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,205.46 : 159,307.98 = 31,378.16 : x
  2. Step 2: Convert to fraction form
    106,205.46/159,307.98 = 31,378.16/x
  3. Step 3: Cross multiply
    106,205.46x = 159,307.98 × 31,378.16
  4. Step 4: Simplify right side
    106,205.46x = 4,998,791,285.72
  5. Step 5: Solve for x
    x = 4,998,791,285.72/106,205.46
  6. Step 6: Final answer
    x = 47,067.18

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