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Finding the Fourth Proportional to 271,387.56, 406,793.85 and 91,301.48

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Solution

The fourth proportional to 271,387.56, 406,793.85 and 91,301.48 is: 136,855.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,387.56 : 406,793.85 = 91,301.48 : x
  2. Step 2: Convert to fraction form
    271,387.56/406,793.85 = 91,301.48/x
  3. Step 3: Cross multiply
    271,387.56x = 406,793.85 × 91,301.48
  4. Step 4: Simplify right side
    271,387.56x = 37,140,879,709.03
  5. Step 5: Solve for x
    x = 37,140,879,709.03/271,387.56
  6. Step 6: Final answer
    x = 136,855.50

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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.