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Finding the Fourth Proportional to 183,910, 274,255.61 and 182,228.41

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Solution

The fourth proportional to 183,910, 274,255.61 and 182,228.41 is: 271,747.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,910 : 274,255.61 = 182,228.41 : x
  2. Step 2: Convert to fraction form
    183,910/274,255.61 = 182,228.41/x
  3. Step 3: Cross multiply
    183,910x = 274,255.61 × 182,228.41
  4. Step 4: Simplify right side
    183,910x = 49,977,163,743.88
  5. Step 5: Solve for x
    x = 49,977,163,743.88/183,910
  6. Step 6: Final answer
    x = 271,747.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.