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Finding the Fourth Proportional to 182,761.89, 273,932.90 and 114,404.14

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Solution

The fourth proportional to 182,761.89, 273,932.90 and 114,404.14 is: 171,474.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,761.89 : 273,932.90 = 114,404.14 : x
  2. Step 2: Convert to fraction form
    182,761.89/273,932.90 = 114,404.14/x
  3. Step 3: Cross multiply
    182,761.89x = 273,932.90 × 114,404.14
  4. Step 4: Simplify right side
    182,761.89x = 31,339,057,842.21
  5. Step 5: Solve for x
    x = 31,339,057,842.21/182,761.89
  6. Step 6: Final answer
    x = 171,474.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.