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Finding the Fourth Proportional to 181,063.56, 271,564.02 and 47,945.73

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Solution

The fourth proportional to 181,063.56, 271,564.02 and 47,945.73 is: 71,910.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,063.56 : 271,564.02 = 47,945.73 : x
  2. Step 2: Convert to fraction form
    181,063.56/271,564.02 = 47,945.73/x
  3. Step 3: Cross multiply
    181,063.56x = 271,564.02 × 47,945.73
  4. Step 4: Simplify right side
    181,063.56x = 13,020,335,180.63
  5. Step 5: Solve for x
    x = 13,020,335,180.63/181,063.56
  6. Step 6: Final answer
    x = 71,910.30

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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.