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Finding the Fourth Proportional to 271,906.68, 407,918.36 and 114,044.16

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Solution

The fourth proportional to 271,906.68, 407,918.36 and 114,044.16 is: 171,090.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,906.68 : 407,918.36 = 114,044.16 : x
  2. Step 2: Convert to fraction form
    271,906.68/407,918.36 = 114,044.16/x
  3. Step 3: Cross multiply
    271,906.68x = 407,918.36 × 114,044.16
  4. Step 4: Simplify right side
    271,906.68x = 46,520,706,714.78
  5. Step 5: Solve for x
    x = 46,520,706,714.78/271,906.68
  6. Step 6: Final answer
    x = 171,090.71

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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.