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Finding the Fourth Proportional to 277,522.86, 382,982.67 and 150,198.42

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Solution

The fourth proportional to 277,522.86, 382,982.67 and 150,198.42 is: 207,274.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,522.86 : 382,982.67 = 150,198.42 : x
  2. Step 2: Convert to fraction form
    277,522.86/382,982.67 = 150,198.42/x
  3. Step 3: Cross multiply
    277,522.86x = 382,982.67 × 150,198.42
  4. Step 4: Simplify right side
    277,522.86x = 57,523,391,921.38
  5. Step 5: Solve for x
    x = 57,523,391,921.38/277,522.86
  6. Step 6: Final answer
    x = 207,274.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.