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Finding the Fourth Proportional to 271,101.16, 406,763.39 and 119,220.16

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Solution

The fourth proportional to 271,101.16, 406,763.39 and 119,220.16 is: 178,879.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,101.16 : 406,763.39 = 119,220.16 : x
  2. Step 2: Convert to fraction form
    271,101.16/406,763.39 = 119,220.16/x
  3. Step 3: Cross multiply
    271,101.16x = 406,763.39 × 119,220.16
  4. Step 4: Simplify right side
    271,101.16x = 48,494,394,404.13
  5. Step 5: Solve for x
    x = 48,494,394,404.13/271,101.16
  6. Step 6: Final answer
    x = 178,879.34

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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.