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Finding the Fourth Proportional to 202,616.37, 303,924.72 and 52,856.49

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Solution

The fourth proportional to 202,616.37, 303,924.72 and 52,856.49 is: 79,284.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,616.37 : 303,924.72 = 52,856.49 : x
  2. Step 2: Convert to fraction form
    202,616.37/303,924.72 = 52,856.49/x
  3. Step 3: Cross multiply
    202,616.37x = 303,924.72 × 52,856.49
  4. Step 4: Simplify right side
    202,616.37x = 16,064,393,923.43
  5. Step 5: Solve for x
    x = 16,064,393,923.43/202,616.37
  6. Step 6: Final answer
    x = 79,284.78

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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.