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Finding the Fourth Proportional to 271,104.25, 406,768.03 and 119,223.25

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Solution

The fourth proportional to 271,104.25, 406,768.03 and 119,223.25 is: 178,883.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,104.25 : 406,768.03 = 119,223.25 : x
  2. Step 2: Convert to fraction form
    271,104.25/406,768.03 = 119,223.25/x
  3. Step 3: Cross multiply
    271,104.25x = 406,768.03 × 119,223.25
  4. Step 4: Simplify right side
    271,104.25x = 48,496,206,532.70
  5. Step 5: Solve for x
    x = 48,496,206,532.70/271,104.25
  6. Step 6: Final answer
    x = 178,883.98

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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.