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Finding the Fourth Proportional to 271,376.92, 406,982.46 and 187,675

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Solution

The fourth proportional to 271,376.92, 406,982.46 and 187,675 is: 281,455.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,376.92 : 406,982.46 = 187,675 : x
  2. Step 2: Convert to fraction form
    271,376.92/406,982.46 = 187,675/x
  3. Step 3: Cross multiply
    271,376.92x = 406,982.46 × 187,675
  4. Step 4: Simplify right side
    271,376.92x = 76,380,433,180.50
  5. Step 5: Solve for x
    x = 76,380,433,180.50/271,376.92
  6. Step 6: Final answer
    x = 281,455.16

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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.