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Finding the Fourth Proportional to 202,381.14, 303,571.23 and 82,487.98

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Solution

The fourth proportional to 202,381.14, 303,571.23 and 82,487.98 is: 123,731.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,381.14 : 303,571.23 = 82,487.98 : x
  2. Step 2: Convert to fraction form
    202,381.14/303,571.23 = 82,487.98/x
  3. Step 3: Cross multiply
    202,381.14x = 303,571.23 × 82,487.98
  4. Step 4: Simplify right side
    202,381.14x = 25,040,977,548.82
  5. Step 5: Solve for x
    x = 25,040,977,548.82/202,381.14
  6. Step 6: Final answer
    x = 123,731.77

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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.