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Finding the Fourth Proportional to 271,794.96, 407,231.82 and 166,393.62

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Solution

The fourth proportional to 271,794.96, 407,231.82 and 166,393.62 is: 249,308.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,794.96 : 407,231.82 = 166,393.62 : x
  2. Step 2: Convert to fraction form
    271,794.96/407,231.82 = 166,393.62/x
  3. Step 3: Cross multiply
    271,794.96x = 407,231.82 × 166,393.62
  4. Step 4: Simplify right side
    271,794.96x = 67,760,776,708.99
  5. Step 5: Solve for x
    x = 67,760,776,708.99/271,794.96
  6. Step 6: Final answer
    x = 249,308.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.