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Finding the Fourth Proportional to 277,859.37, 383,446.34 and 150,534.97

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Solution

The fourth proportional to 277,859.37, 383,446.34 and 150,534.97 is: 207,738.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,859.37 : 383,446.34 = 150,534.97 : x
  2. Step 2: Convert to fraction form
    277,859.37/383,446.34 = 150,534.97/x
  3. Step 3: Cross multiply
    277,859.37x = 383,446.34 × 150,534.97
  4. Step 4: Simplify right side
    277,859.37x = 57,722,082,141.73
  5. Step 5: Solve for x
    x = 57,722,082,141.73/277,859.37
  6. Step 6: Final answer
    x = 207,738.47

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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.