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Finding the Fourth Proportional to 277,896.33, 383,497.29 and 150,571.89

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Solution

The fourth proportional to 277,896.33, 383,497.29 and 150,571.89 is: 207,789.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,896.33 : 383,497.29 = 150,571.89 : x
  2. Step 2: Convert to fraction form
    277,896.33/383,497.29 = 150,571.89/x
  3. Step 3: Cross multiply
    277,896.33x = 383,497.29 × 150,571.89
  4. Step 4: Simplify right side
    277,896.33x = 57,743,911,765.18
  5. Step 5: Solve for x
    x = 57,743,911,765.18/277,896.33
  6. Step 6: Final answer
    x = 207,789.40

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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.