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Finding the Fourth Proportional to 271,333.28, 406,770.12 and 102,760.64

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Solution

The fourth proportional to 271,333.28, 406,770.12 and 102,760.64 is: 154,053.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,333.28 : 406,770.12 = 102,760.64 : x
  2. Step 2: Convert to fraction form
    271,333.28/406,770.12 = 102,760.64/x
  3. Step 3: Cross multiply
    271,333.28x = 406,770.12 × 102,760.64
  4. Step 4: Simplify right side
    271,333.28x = 41,799,957,864.08
  5. Step 5: Solve for x
    x = 41,799,957,864.08/271,333.28
  6. Step 6: Final answer
    x = 154,053.93

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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.