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Finding the Fourth Proportional to 277,761.39, 383,310.72 and 150,436.98

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Solution

The fourth proportional to 277,761.39, 383,310.72 and 150,436.98 is: 207,603.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,761.39 : 383,310.72 = 150,436.98 : x
  2. Step 2: Convert to fraction form
    277,761.39/383,310.72 = 150,436.98/x
  3. Step 3: Cross multiply
    277,761.39x = 383,310.72 × 150,436.98
  4. Step 4: Simplify right side
    277,761.39x = 57,664,107,118.43
  5. Step 5: Solve for x
    x = 57,664,107,118.43/277,761.39
  6. Step 6: Final answer
    x = 207,603.03

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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.