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Finding the Fourth Proportional to 271,096.36, 406,625.10 and 137,893.48

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Solution

The fourth proportional to 271,096.36, 406,625.10 and 137,893.48 is: 206,830.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,096.36 : 406,625.10 = 137,893.48 : x
  2. Step 2: Convert to fraction form
    271,096.36/406,625.10 = 137,893.48/x
  3. Step 3: Cross multiply
    271,096.36x = 406,625.10 × 137,893.48
  4. Step 4: Simplify right side
    271,096.36x = 56,070,950,094.35
  5. Step 5: Solve for x
    x = 56,070,950,094.35/271,096.36
  6. Step 6: Final answer
    x = 206,830.33

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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.