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Finding the Fourth Proportional to 277,163.78, 382,487.77 and 175,235.20

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Solution

The fourth proportional to 277,163.78, 382,487.77 and 175,235.20 is: 241,825.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,163.78 : 382,487.77 = 175,235.20 : x
  2. Step 2: Convert to fraction form
    277,163.78/382,487.77 = 175,235.20/x
  3. Step 3: Cross multiply
    277,163.78x = 382,487.77 × 175,235.20
  4. Step 4: Simplify right side
    277,163.78x = 67,025,320,136.33
  5. Step 5: Solve for x
    x = 67,025,320,136.33/277,163.78
  6. Step 6: Final answer
    x = 241,825.69

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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.