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Finding the Fourth Proportional to 202,458.99, 303,872.66 and 107,768.78

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Solution

The fourth proportional to 202,458.99, 303,872.66 and 107,768.78 is: 161,751.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,458.99 : 303,872.66 = 107,768.78 : x
  2. Step 2: Convert to fraction form
    202,458.99/303,872.66 = 107,768.78/x
  3. Step 3: Cross multiply
    202,458.99x = 303,872.66 × 107,768.78
  4. Step 4: Simplify right side
    202,458.99x = 32,747,985,843.55
  5. Step 5: Solve for x
    x = 32,747,985,843.55/202,458.99
  6. Step 6: Final answer
    x = 161,751.21

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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.