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Finding the Fourth Proportional to 202,523.28, 303,783.78 and 82,579.77

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Solution

The fourth proportional to 202,523.28, 303,783.78 and 82,579.77 is: 123,869.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,523.28 : 303,783.78 = 82,579.77 : x
  2. Step 2: Convert to fraction form
    202,523.28/303,783.78 = 82,579.77/x
  3. Step 3: Cross multiply
    202,523.28x = 303,783.78 × 82,579.77
  4. Step 4: Simplify right side
    202,523.28x = 25,086,394,682.13
  5. Step 5: Solve for x
    x = 25,086,394,682.13/202,523.28
  6. Step 6: Final answer
    x = 123,869.19

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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.