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Finding the Fourth Proportional to 150,517.09, 207,722.90 and 83,449.09

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Solution

The fourth proportional to 150,517.09, 207,722.90 and 83,449.09 is: 115,164.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,517.09 : 207,722.90 = 83,449.09 : x
  2. Step 2: Convert to fraction form
    150,517.09/207,722.90 = 83,449.09/x
  3. Step 3: Cross multiply
    150,517.09x = 207,722.90 × 83,449.09
  4. Step 4: Simplify right side
    150,517.09x = 17,334,286,353.54
  5. Step 5: Solve for x
    x = 17,334,286,353.54/150,517.09
  6. Step 6: Final answer
    x = 115,164.91

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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.