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Finding the Fourth Proportional to 293,769.75, 405,404.82 and 159,633.75

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Solution

The fourth proportional to 293,769.75, 405,404.82 and 159,633.75 is: 220,295.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,769.75 : 405,404.82 = 159,633.75 : x
  2. Step 2: Convert to fraction form
    293,769.75/405,404.82 = 159,633.75/x
  3. Step 3: Cross multiply
    293,769.75x = 405,404.82 × 159,633.75
  4. Step 4: Simplify right side
    293,769.75x = 64,716,291,684.68
  5. Step 5: Solve for x
    x = 64,716,291,684.68/293,769.75
  6. Step 6: Final answer
    x = 220,295.97

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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.