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Finding the Fourth Proportional to 277,836.50, 383,414.37 and 150,512.06

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Solution

The fourth proportional to 277,836.50, 383,414.37 and 150,512.06 is: 207,706.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,836.50 : 383,414.37 = 150,512.06 : x
  2. Step 2: Convert to fraction form
    277,836.50/383,414.37 = 150,512.06/x
  3. Step 3: Cross multiply
    277,836.50x = 383,414.37 × 150,512.06
  4. Step 4: Simplify right side
    277,836.50x = 57,708,486,662.30
  5. Step 5: Solve for x
    x = 57,708,486,662.30/277,836.50
  6. Step 6: Final answer
    x = 207,706.64

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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.