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Finding the Fourth Proportional to 277,906.64, 383,512.92 and 150,583.16

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Solution

The fourth proportional to 277,906.64, 383,512.92 and 150,583.16 is: 207,805.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,906.64 : 383,512.92 = 150,583.16 : x
  2. Step 2: Convert to fraction form
    277,906.64/383,512.92 = 150,583.16/x
  3. Step 3: Cross multiply
    277,906.64x = 383,512.92 × 150,583.16
  4. Step 4: Simplify right side
    277,906.64x = 57,750,587,394.43
  5. Step 5: Solve for x
    x = 57,750,587,394.43/277,906.64
  6. Step 6: Final answer
    x = 207,805.71

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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.