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Finding the Fourth Proportional to 293,902.56, 405,590.22 and 166,575.42

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Solution

The fourth proportional to 293,902.56, 405,590.22 and 166,575.42 is: 229,876.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,902.56 : 405,590.22 = 166,575.42 : x
  2. Step 2: Convert to fraction form
    293,902.56/405,590.22 = 166,575.42/x
  3. Step 3: Cross multiply
    293,902.56x = 405,590.22 × 166,575.42
  4. Step 4: Simplify right side
    293,902.56x = 67,561,361,244.39
  5. Step 5: Solve for x
    x = 67,561,361,244.39/293,902.56
  6. Step 6: Final answer
    x = 229,876.74

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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.