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Finding the Fourth Proportional to 202,944.17, 304,434.17 and 53,183.87

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Solution

The fourth proportional to 202,944.17, 304,434.17 and 53,183.87 is: 79,780.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,944.17 : 304,434.17 = 53,183.87 : x
  2. Step 2: Convert to fraction form
    202,944.17/304,434.17 = 53,183.87/x
  3. Step 3: Cross multiply
    202,944.17x = 304,434.17 × 53,183.87
  4. Step 4: Simplify right side
    202,944.17x = 16,190,988,214.88
  5. Step 5: Solve for x
    x = 16,190,988,214.88/202,944.17
  6. Step 6: Final answer
    x = 79,780.51

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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.