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Finding the Fourth Proportional to 271,049.80, 406,412.70 and 165,944.20

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Solution

The fourth proportional to 271,049.80, 406,412.70 and 165,944.20 is: 248,817.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,049.80 : 406,412.70 = 165,944.20 : x
  2. Step 2: Convert to fraction form
    271,049.80/406,412.70 = 165,944.20/x
  3. Step 3: Cross multiply
    271,049.80x = 406,412.70 × 165,944.20
  4. Step 4: Simplify right side
    271,049.80x = 67,441,830,371.34
  5. Step 5: Solve for x
    x = 67,441,830,371.34/271,049.80
  6. Step 6: Final answer
    x = 248,817.12

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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.