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Finding the Fourth Proportional to 179,849.82, 269,774.54 and 53,489.56

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Solution

The fourth proportional to 179,849.82, 269,774.54 and 53,489.56 is: 80,234.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,849.82 : 269,774.54 = 53,489.56 : x
  2. Step 2: Convert to fraction form
    179,849.82/269,774.54 = 53,489.56/x
  3. Step 3: Cross multiply
    179,849.82x = 269,774.54 × 53,489.56
  4. Step 4: Simplify right side
    179,849.82x = 14,430,121,443.80
  5. Step 5: Solve for x
    x = 14,430,121,443.80/179,849.82
  6. Step 6: Final answer
    x = 80,234.28

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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.