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Finding the Fourth Proportional to 277,170.93, 415,912.32 and 150,820.38

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Solution

The fourth proportional to 277,170.93, 415,912.32 and 150,820.38 is: 226,315.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,170.93 : 415,912.32 = 150,820.38 : x
  2. Step 2: Convert to fraction form
    277,170.93/415,912.32 = 150,820.38/x
  3. Step 3: Cross multiply
    277,170.93x = 415,912.32 × 150,820.38
  4. Step 4: Simplify right side
    277,170.93x = 62,728,054,149.08
  5. Step 5: Solve for x
    x = 62,728,054,149.08/277,170.93
  6. Step 6: Final answer
    x = 226,315.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.