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Finding the Fourth Proportional to 149,391.36, 206,150.40 and 82,323.36

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Solution

The fourth proportional to 149,391.36, 206,150.40 and 82,323.36 is: 113,600.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,391.36 : 206,150.40 = 82,323.36 : x
  2. Step 2: Convert to fraction form
    149,391.36/206,150.40 = 82,323.36/x
  3. Step 3: Cross multiply
    149,391.36x = 206,150.40 × 82,323.36
  4. Step 4: Simplify right side
    149,391.36x = 16,970,993,593.34
  5. Step 5: Solve for x
    x = 16,970,993,593.34/149,391.36
  6. Step 6: Final answer
    x = 113,600.90

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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.