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Finding the Fourth Proportional to 300,773.19, 415,067.10 and 164,806.03

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Solution

The fourth proportional to 300,773.19, 415,067.10 and 164,806.03 is: 227,432.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,773.19 : 415,067.10 = 164,806.03 : x
  2. Step 2: Convert to fraction form
    300,773.19/415,067.10 = 164,806.03/x
  3. Step 3: Cross multiply
    300,773.19x = 415,067.10 × 164,806.03
  4. Step 4: Simplify right side
    300,773.19x = 68,405,560,934.61
  5. Step 5: Solve for x
    x = 68,405,560,934.61/300,773.19
  6. Step 6: Final answer
    x = 227,432.37

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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.