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Finding the Fourth Proportional to 271,231.80, 406,847.70 and 71,551.80

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Solution

The fourth proportional to 271,231.80, 406,847.70 and 71,551.80 is: 107,327.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,231.80 : 406,847.70 = 71,551.80 : x
  2. Step 2: Convert to fraction form
    271,231.80/406,847.70 = 71,551.80/x
  3. Step 3: Cross multiply
    271,231.80x = 406,847.70 × 71,551.80
  4. Step 4: Simplify right side
    271,231.80x = 29,110,685,260.86
  5. Step 5: Solve for x
    x = 29,110,685,260.86/271,231.80
  6. Step 6: Final answer
    x = 107,327.70

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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.