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Finding the Fourth Proportional to 183,911.50, 274,257.84 and 182,229.90

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Solution

The fourth proportional to 183,911.50, 274,257.84 and 182,229.90 is: 271,750.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,911.50 : 274,257.84 = 182,229.90 : x
  2. Step 2: Convert to fraction form
    183,911.50/274,257.84 = 182,229.90/x
  3. Step 3: Cross multiply
    183,911.50x = 274,257.84 × 182,229.90
  4. Step 4: Simplify right side
    183,911.50x = 49,977,978,757.42
  5. Step 5: Solve for x
    x = 49,977,978,757.42/183,911.50
  6. Step 6: Final answer
    x = 271,750.16

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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.