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Finding the Fourth Proportional to 202,524.28, 303,785.28 and 82,580.77

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Solution

The fourth proportional to 202,524.28, 303,785.28 and 82,580.77 is: 123,870.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,524.28 : 303,785.28 = 82,580.77 : x
  2. Step 2: Convert to fraction form
    202,524.28/303,785.28 = 82,580.77/x
  3. Step 3: Cross multiply
    202,524.28x = 303,785.28 × 82,580.77
  4. Step 4: Simplify right side
    202,524.28x = 25,086,822,337.07
  5. Step 5: Solve for x
    x = 25,086,822,337.07/202,524.28
  6. Step 6: Final answer
    x = 123,870.69

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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.