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Finding the Fourth Proportional to 277,872.90, 383,464.98 and 150,548.49

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Solution

The fourth proportional to 277,872.90, 383,464.98 and 150,548.49 is: 207,757.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,872.90 : 383,464.98 = 150,548.49 : x
  2. Step 2: Convert to fraction form
    277,872.90/383,464.98 = 150,548.49/x
  3. Step 3: Cross multiply
    277,872.90x = 383,464.98 × 150,548.49
  4. Step 4: Simplify right side
    277,872.90x = 57,730,073,706.88
  5. Step 5: Solve for x
    x = 57,730,073,706.88/277,872.90
  6. Step 6: Final answer
    x = 207,757.12

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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.