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Finding the Fourth Proportional to 271,168.68, 406,727.10 and 165,933.48

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Solution

The fourth proportional to 271,168.68, 406,727.10 and 165,933.48 is: 248,884.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,168.68 : 406,727.10 = 165,933.48 : x
  2. Step 2: Convert to fraction form
    271,168.68/406,727.10 = 165,933.48/x
  3. Step 3: Cross multiply
    271,168.68x = 406,727.10 × 165,933.48
  4. Step 4: Simplify right side
    271,168.68x = 67,489,643,113.31
  5. Step 5: Solve for x
    x = 67,489,643,113.31/271,168.68
  6. Step 6: Final answer
    x = 248,884.36

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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.