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Finding the Fourth Proportional to 183,911, 274,257.10 and 182,229.41

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Solution

The fourth proportional to 183,911, 274,257.10 and 182,229.41 is: 271,749.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,911 : 274,257.10 = 182,229.41 : x
  2. Step 2: Convert to fraction form
    183,911/274,257.10 = 182,229.41/x
  3. Step 3: Cross multiply
    183,911x = 274,257.10 × 182,229.41
  4. Step 4: Simplify right side
    183,911x = 49,977,709,521.31
  5. Step 5: Solve for x
    x = 49,977,709,521.31/183,911
  6. Step 6: Final answer
    x = 271,749.43

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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.