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Finding the Fourth Proportional to 271,183.74, 406,777.98 and 71,532.48

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Solution

The fourth proportional to 271,183.74, 406,777.98 and 71,532.48 is: 107,299.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,183.74 : 406,777.98 = 71,532.48 : x
  2. Step 2: Convert to fraction form
    271,183.74/406,777.98 = 71,532.48/x
  3. Step 3: Cross multiply
    271,183.74x = 406,777.98 × 71,532.48
  4. Step 4: Simplify right side
    271,183.74x = 29,097,837,718.79
  5. Step 5: Solve for x
    x = 29,097,837,718.79/271,183.74
  6. Step 6: Final answer
    x = 107,299.35

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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.