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Finding the Fourth Proportional to 202,652.75, 303,979.13 and 54,908.75

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Solution

The fourth proportional to 202,652.75, 303,979.13 and 54,908.75 is: 82,363.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,652.75 : 303,979.13 = 54,908.75 : x
  2. Step 2: Convert to fraction form
    202,652.75/303,979.13 = 54,908.75/x
  3. Step 3: Cross multiply
    202,652.75x = 303,979.13 × 54,908.75
  4. Step 4: Simplify right side
    202,652.75x = 16,691,114,054.39
  5. Step 5: Solve for x
    x = 16,691,114,054.39/202,652.75
  6. Step 6: Final answer
    x = 82,363.13

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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.