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Finding the Fourth Proportional to 150,343.56, 207,474.14 and 82,362.96

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Solution

The fourth proportional to 150,343.56, 207,474.14 and 82,362.96 is: 113,660.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,343.56 : 207,474.14 = 82,362.96 : x
  2. Step 2: Convert to fraction form
    150,343.56/207,474.14 = 82,362.96/x
  3. Step 3: Cross multiply
    150,343.56x = 207,474.14 × 82,362.96
  4. Step 4: Simplify right side
    150,343.56x = 17,088,184,293.85
  5. Step 5: Solve for x
    x = 17,088,184,293.85/150,343.56
  6. Step 6: Final answer
    x = 113,660.90

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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.