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Finding the Fourth Proportional to 301,266.22, 415,747.15 and 165,301.03

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Solution

The fourth proportional to 301,266.22, 415,747.15 and 165,301.03 is: 228,115.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,266.22 : 415,747.15 = 165,301.03 : x
  2. Step 2: Convert to fraction form
    301,266.22/415,747.15 = 165,301.03/x
  3. Step 3: Cross multiply
    301,266.22x = 415,747.15 × 165,301.03
  4. Step 4: Simplify right side
    301,266.22x = 68,723,432,114.56
  5. Step 5: Solve for x
    x = 68,723,432,114.56/301,266.22
  6. Step 6: Final answer
    x = 228,115.29

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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.