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Finding the Fourth Proportional to 149,921.53, 206,891.22 and 81,938.50

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Solution

The fourth proportional to 149,921.53, 206,891.22 and 81,938.50 is: 113,074.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,921.53 : 206,891.22 = 81,938.50 : x
  2. Step 2: Convert to fraction form
    149,921.53/206,891.22 = 81,938.50/x
  3. Step 3: Cross multiply
    149,921.53x = 206,891.22 × 81,938.50
  4. Step 4: Simplify right side
    149,921.53x = 16,952,355,195.51
  5. Step 5: Solve for x
    x = 16,952,355,195.51/149,921.53
  6. Step 6: Final answer
    x = 113,074.86

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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.