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Finding the Fourth Proportional to 203,033.29, 304,849.32 and 113,251.42

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Solution

The fourth proportional to 203,033.29, 304,849.32 and 113,251.42 is: 170,044.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,033.29 : 304,849.32 = 113,251.42 : x
  2. Step 2: Convert to fraction form
    203,033.29/304,849.32 = 113,251.42/x
  3. Step 3: Cross multiply
    203,033.29x = 304,849.32 × 113,251.42
  4. Step 4: Simplify right side
    203,033.29x = 34,524,617,781.74
  5. Step 5: Solve for x
    x = 34,524,617,781.74/203,033.29
  6. Step 6: Final answer
    x = 170,044.12

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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.