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Finding the Fourth Proportional to 181,022.96, 271,553.88 and 75,852.56

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Solution

The fourth proportional to 181,022.96, 271,553.88 and 75,852.56 is: 113,786.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,022.96 : 271,553.88 = 75,852.56 : x
  2. Step 2: Convert to fraction form
    181,022.96/271,553.88 = 75,852.56/x
  3. Step 3: Cross multiply
    181,022.96x = 271,553.88 × 75,852.56
  4. Step 4: Simplify right side
    181,022.96x = 20,598,056,975.93
  5. Step 5: Solve for x
    x = 20,598,056,975.93/181,022.96
  6. Step 6: Final answer
    x = 113,786.99

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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.