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Finding the Fourth Proportional to 202,404.36, 303,791.76 and 102,633.42

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Solution

The fourth proportional to 202,404.36, 303,791.76 and 102,633.42 is: 154,044.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,404.36 : 303,791.76 = 102,633.42 : x
  2. Step 2: Convert to fraction form
    202,404.36/303,791.76 = 102,633.42/x
  3. Step 3: Cross multiply
    202,404.36x = 303,791.76 × 102,633.42
  4. Step 4: Simplify right side
    202,404.36x = 31,179,187,296.62
  5. Step 5: Solve for x
    x = 31,179,187,296.62/202,404.36
  6. Step 6: Final answer
    x = 154,044.05

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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.