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Finding the Fourth Proportional to 149,396.37, 206,165.12 and 81,416.31

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Solution

The fourth proportional to 149,396.37, 206,165.12 and 81,416.31 is: 112,353.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,396.37 : 206,165.12 = 81,416.31 : x
  2. Step 2: Convert to fraction form
    149,396.37/206,165.12 = 81,416.31/x
  3. Step 3: Cross multiply
    149,396.37x = 206,165.12 × 81,416.31
  4. Step 4: Simplify right side
    149,396.37x = 16,785,202,914.03
  5. Step 5: Solve for x
    x = 16,785,202,914.03/149,396.37
  6. Step 6: Final answer
    x = 112,353.49

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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.