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Finding the Fourth Proportional to 149,757, 206,496.18 and 122,447.88

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Solution

The fourth proportional to 149,757, 206,496.18 and 122,447.88 is: 168,840.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,757 : 206,496.18 = 122,447.88 : x
  2. Step 2: Convert to fraction form
    149,757/206,496.18 = 122,447.88/x
  3. Step 3: Cross multiply
    149,757x = 206,496.18 × 122,447.88
  4. Step 4: Simplify right side
    149,757x = 25,285,019,469.10
  5. Step 5: Solve for x
    x = 25,285,019,469.10/149,757
  6. Step 6: Final answer
    x = 168,840.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.