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Finding the Fourth Proportional to 241,391.26, 333,229.62 and 165,034

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Solution

The fourth proportional to 241,391.26, 333,229.62 and 165,034 is: 227,821.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,391.26 : 333,229.62 = 165,034 : x
  2. Step 2: Convert to fraction form
    241,391.26/333,229.62 = 165,034/x
  3. Step 3: Cross multiply
    241,391.26x = 333,229.62 × 165,034
  4. Step 4: Simplify right side
    241,391.26x = 54,994,217,107.08
  5. Step 5: Solve for x
    x = 54,994,217,107.08/241,391.26
  6. Step 6: Final answer
    x = 227,821.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.