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Finding the Fourth Proportional to 277,723.92, 383,258.22 and 150,399.48

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Solution

The fourth proportional to 277,723.92, 383,258.22 and 150,399.48 is: 207,550.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,723.92 : 383,258.22 = 150,399.48 : x
  2. Step 2: Convert to fraction form
    277,723.92/383,258.22 = 150,399.48/x
  3. Step 3: Cross multiply
    277,723.92x = 383,258.22 × 150,399.48
  4. Step 4: Simplify right side
    277,723.92x = 57,641,836,993.73
  5. Step 5: Solve for x
    x = 57,641,836,993.73/277,723.92
  6. Step 6: Final answer
    x = 207,550.85

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