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Finding the Fourth Proportional to 271,441.80, 406,548.30 and 160,849.80

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Solution

The fourth proportional to 271,441.80, 406,548.30 and 160,849.80 is: 240,910.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,441.80 : 406,548.30 = 160,849.80 : x
  2. Step 2: Convert to fraction form
    271,441.80/406,548.30 = 160,849.80/x
  3. Step 3: Cross multiply
    271,441.80x = 406,548.30 × 160,849.80
  4. Step 4: Simplify right side
    271,441.80x = 65,393,212,745.34
  5. Step 5: Solve for x
    x = 65,393,212,745.34/271,441.80
  6. Step 6: Final answer
    x = 240,910.62

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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.