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Finding the Fourth Proportional to 203,082.26, 304,623.40 and 55,338.26

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Solution

The fourth proportional to 203,082.26, 304,623.40 and 55,338.26 is: 83,007.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,082.26 : 304,623.40 = 55,338.26 : x
  2. Step 2: Convert to fraction form
    203,082.26/304,623.40 = 55,338.26/x
  3. Step 3: Cross multiply
    203,082.26x = 304,623.40 × 55,338.26
  4. Step 4: Simplify right side
    203,082.26x = 16,857,328,911.28
  5. Step 5: Solve for x
    x = 16,857,328,911.28/203,082.26
  6. Step 6: Final answer
    x = 83,007.39

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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.