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Finding the Fourth Proportional to 271,362.92, 406,961.46 and 187,661

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Solution

The fourth proportional to 271,362.92, 406,961.46 and 187,661 is: 281,434.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,362.92 : 406,961.46 = 187,661 : x
  2. Step 2: Convert to fraction form
    271,362.92/406,961.46 = 187,661/x
  3. Step 3: Cross multiply
    271,362.92x = 406,961.46 × 187,661
  4. Step 4: Simplify right side
    271,362.92x = 76,370,794,545.06
  5. Step 5: Solve for x
    x = 76,370,794,545.06/271,362.92
  6. Step 6: Final answer
    x = 281,434.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.