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Finding the Fourth Proportional to 293,194.67, 404,586.29 and 164,103.57

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Solution

The fourth proportional to 293,194.67, 404,586.29 and 164,103.57 is: 226,450.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,194.67 : 404,586.29 = 164,103.57 : x
  2. Step 2: Convert to fraction form
    293,194.67/404,586.29 = 164,103.57/x
  3. Step 3: Cross multiply
    293,194.67x = 404,586.29 × 164,103.57
  4. Step 4: Simplify right side
    293,194.67x = 66,394,053,741.54
  5. Step 5: Solve for x
    x = 66,394,053,741.54/293,194.67
  6. Step 6: Final answer
    x = 226,450.42

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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.