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Finding the Fourth Proportional to 301,135.26, 415,593.33 and 165,195.72

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Solution

The fourth proportional to 301,135.26, 415,593.33 and 165,195.72 is: 227,984.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,135.26 : 415,593.33 = 165,195.72 : x
  2. Step 2: Convert to fraction form
    301,135.26/415,593.33 = 165,195.72/x
  3. Step 3: Cross multiply
    301,135.26x = 415,593.33 × 165,195.72
  4. Step 4: Simplify right side
    301,135.26x = 68,654,238,757.06
  5. Step 5: Solve for x
    x = 68,654,238,757.06/301,135.26
  6. Step 6: Final answer
    x = 227,984.72

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