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Finding the Fourth Proportional to 294,105.65, 405,865.77 and 166,781.25

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Solution

The fourth proportional to 294,105.65, 405,865.77 and 166,781.25 is: 230,158.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,105.65 : 405,865.77 = 166,781.25 : x
  2. Step 2: Convert to fraction form
    294,105.65/405,865.77 = 166,781.25/x
  3. Step 3: Cross multiply
    294,105.65x = 405,865.77 × 166,781.25
  4. Step 4: Simplify right side
    294,105.65x = 67,690,797,589.58
  5. Step 5: Solve for x
    x = 67,690,797,589.58/294,105.65
  6. Step 6: Final answer
    x = 230,158.10

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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.