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Finding the Fourth Proportional to 120,396.12, 165,766.50 and 106,047

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Solution

The fourth proportional to 120,396.12, 165,766.50 and 106,047 is: 146,010.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,396.12 : 165,766.50 = 106,047 : x
  2. Step 2: Convert to fraction form
    120,396.12/165,766.50 = 106,047/x
  3. Step 3: Cross multiply
    120,396.12x = 165,766.50 × 106,047
  4. Step 4: Simplify right side
    120,396.12x = 17,579,040,025.50
  5. Step 5: Solve for x
    x = 17,579,040,025.50/120,396.12
  6. Step 6: Final answer
    x = 146,010.02

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