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Finding the Fourth Proportional to 181,190.30, 271,508.34 and 75,951.86

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Solution

The fourth proportional to 181,190.30, 271,508.34 and 75,951.86 is: 113,811.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,190.30 : 271,508.34 = 75,951.86 : x
  2. Step 2: Convert to fraction form
    181,190.30/271,508.34 = 75,951.86/x
  3. Step 3: Cross multiply
    181,190.30x = 271,508.34 × 75,951.86
  4. Step 4: Simplify right side
    181,190.30x = 20,621,563,428.51
  5. Step 5: Solve for x
    x = 20,621,563,428.51/181,190.30
  6. Step 6: Final answer
    x = 113,811.63

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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.