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Finding the Fourth Proportional to 277,871.50, 383,460.30 and 150,546.82

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Solution

The fourth proportional to 277,871.50, 383,460.30 and 150,546.82 is: 207,753.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,871.50 : 383,460.30 = 150,546.82 : x
  2. Step 2: Convert to fraction form
    277,871.50/383,460.30 = 150,546.82/x
  3. Step 3: Cross multiply
    277,871.50x = 383,460.30 × 150,546.82
  4. Step 4: Simplify right side
    277,871.50x = 57,728,728,761.25
  5. Step 5: Solve for x
    x = 57,728,728,761.25/277,871.50
  6. Step 6: Final answer
    x = 207,753.33

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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.