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Finding the Fourth Proportional to 100,662.89, 150,998.92 and 71,212.16

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Solution

The fourth proportional to 100,662.89, 150,998.92 and 71,212.16 is: 106,821.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,662.89 : 150,998.92 = 71,212.16 : x
  2. Step 2: Convert to fraction form
    100,662.89/150,998.92 = 71,212.16/x
  3. Step 3: Cross multiply
    100,662.89x = 150,998.92 × 71,212.16
  4. Step 4: Simplify right side
    100,662.89x = 10,752,959,450.33
  5. Step 5: Solve for x
    x = 10,752,959,450.33/100,662.89
  6. Step 6: Final answer
    x = 106,821.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.