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Finding the Fourth Proportional to 233,912.54, 350,896.23 and 82,063.19

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Solution

The fourth proportional to 233,912.54, 350,896.23 and 82,063.19 is: 123,104.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,912.54 : 350,896.23 = 82,063.19 : x
  2. Step 2: Convert to fraction form
    233,912.54/350,896.23 = 82,063.19/x
  3. Step 3: Cross multiply
    233,912.54x = 350,896.23 × 82,063.19
  4. Step 4: Simplify right side
    233,912.54x = 28,795,662,238.29
  5. Step 5: Solve for x
    x = 28,795,662,238.29/233,912.54
  6. Step 6: Final answer
    x = 123,104.40

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Why These Related Problems?

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