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Finding the Fourth Proportional to 181,078.75, 271,633.11 and 56,419.75

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Solution

The fourth proportional to 181,078.75, 271,633.11 and 56,419.75 is: 84,634.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,078.75 : 271,633.11 = 56,419.75 : x
  2. Step 2: Convert to fraction form
    181,078.75/271,633.11 = 56,419.75/x
  3. Step 3: Cross multiply
    181,078.75x = 271,633.11 × 56,419.75
  4. Step 4: Simplify right side
    181,078.75x = 15,325,472,157.92
  5. Step 5: Solve for x
    x = 15,325,472,157.92/181,078.75
  6. Step 6: Final answer
    x = 84,634.29

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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.