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Finding the Fourth Proportional to 181,263.96, 271,934.82 and 76,022.28

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Solution

The fourth proportional to 181,263.96, 271,934.82 and 76,022.28 is: 114,049.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,263.96 : 271,934.82 = 76,022.28 : x
  2. Step 2: Convert to fraction form
    181,263.96/271,934.82 = 76,022.28/x
  3. Step 3: Cross multiply
    181,263.96x = 271,934.82 × 76,022.28
  4. Step 4: Simplify right side
    181,263.96x = 20,673,105,027.79
  5. Step 5: Solve for x
    x = 20,673,105,027.79/181,263.96
  6. Step 6: Final answer
    x = 114,049.73

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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.