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Finding the Fourth Proportional to 183,906, 274,249.64 and 182,224.42

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Solution

The fourth proportional to 183,906, 274,249.64 and 182,224.42 is: 271,741.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,906 : 274,249.64 = 182,224.42 : x
  2. Step 2: Convert to fraction form
    183,906/274,249.64 = 182,224.42/x
  3. Step 3: Cross multiply
    183,906x = 274,249.64 × 182,224.42
  4. Step 4: Simplify right side
    183,906x = 49,974,981,354.15
  5. Step 5: Solve for x
    x = 49,974,981,354.15/183,906
  6. Step 6: Final answer
    x = 271,741.98

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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.