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Finding the Fourth Proportional to 271,047.80, 406,409.70 and 165,942.20

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Solution

The fourth proportional to 271,047.80, 406,409.70 and 165,942.20 is: 248,814.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,047.80 : 406,409.70 = 165,942.20 : x
  2. Step 2: Convert to fraction form
    271,047.80/406,409.70 = 165,942.20/x
  3. Step 3: Cross multiply
    271,047.80x = 406,409.70 × 165,942.20
  4. Step 4: Simplify right side
    271,047.80x = 67,440,519,719.34
  5. Step 5: Solve for x
    x = 67,440,519,719.34/271,047.80
  6. Step 6: Final answer
    x = 248,814.12

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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.