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Finding the Fourth Proportional to 301,194.22, 415,651.22 and 165,228.42

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Solution

The fourth proportional to 301,194.22, 415,651.22 and 165,228.42 is: 228,016.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,194.22 : 415,651.22 = 165,228.42 : x
  2. Step 2: Convert to fraction form
    301,194.22/415,651.22 = 165,228.42/x
  3. Step 3: Cross multiply
    301,194.22x = 415,651.22 × 165,228.42
  4. Step 4: Simplify right side
    301,194.22x = 68,677,394,351.67
  5. Step 5: Solve for x
    x = 68,677,394,351.67/301,194.22
  6. Step 6: Final answer
    x = 228,016.97

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1.5x scale

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.