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Finding the Fourth Proportional to 181,302.46, 271,951.67 and 110,244.67

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Solution

The fourth proportional to 181,302.46, 271,951.67 and 110,244.67 is: 165,365.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,302.46 : 271,951.67 = 110,244.67 : x
  2. Step 2: Convert to fraction form
    181,302.46/271,951.67 = 110,244.67/x
  3. Step 3: Cross multiply
    181,302.46x = 271,951.67 × 110,244.67
  4. Step 4: Simplify right side
    181,302.46x = 29,981,221,563.88
  5. Step 5: Solve for x
    x = 29,981,221,563.88/181,302.46
  6. Step 6: Final answer
    x = 165,365.77

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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.