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Finding the Fourth Proportional to 277,978.28, 383,610.36 and 150,653.84

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Solution

The fourth proportional to 277,978.28, 383,610.36 and 150,653.84 is: 207,902.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,978.28 : 383,610.36 = 150,653.84 : x
  2. Step 2: Convert to fraction form
    277,978.28/383,610.36 = 150,653.84/x
  3. Step 3: Cross multiply
    277,978.28x = 383,610.36 × 150,653.84
  4. Step 4: Simplify right side
    277,978.28x = 57,792,373,797.78
  5. Step 5: Solve for x
    x = 57,792,373,797.78/277,978.28
  6. Step 6: Final answer
    x = 207,902.48

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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.