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Finding the Fourth Proportional to 202,093, 303,183.18 and 77,434.12

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Solution

The fourth proportional to 202,093, 303,183.18 and 77,434.12 is: 116,167.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,093 : 303,183.18 = 77,434.12 : x
  2. Step 2: Convert to fraction form
    202,093/303,183.18 = 77,434.12/x
  3. Step 3: Cross multiply
    202,093x = 303,183.18 × 77,434.12
  4. Step 4: Simplify right side
    202,093x = 23,476,722,742.10
  5. Step 5: Solve for x
    x = 23,476,722,742.10/202,093
  6. Step 6: Final answer
    x = 116,167.92

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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.