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Finding the Fourth Proportional to 271,165.82, 406,219.28 and 128,808.51

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Solution

The fourth proportional to 271,165.82, 406,219.28 and 128,808.51 is: 192,961.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,165.82 : 406,219.28 = 128,808.51 : x
  2. Step 2: Convert to fraction form
    271,165.82/406,219.28 = 128,808.51/x
  3. Step 3: Cross multiply
    271,165.82x = 406,219.28 × 128,808.51
  4. Step 4: Simplify right side
    271,165.82x = 52,324,499,546.03
  5. Step 5: Solve for x
    x = 52,324,499,546.03/271,165.82
  6. Step 6: Final answer
    x = 192,961.27

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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.