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Finding the Fourth Proportional to 181,098.97, 271,659.31 and 47,978.85

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Solution

The fourth proportional to 181,098.97, 271,659.31 and 47,978.85 is: 71,971.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,098.97 : 271,659.31 = 47,978.85 : x
  2. Step 2: Convert to fraction form
    181,098.97/271,659.31 = 47,978.85/x
  3. Step 3: Cross multiply
    181,098.97x = 271,659.31 × 47,978.85
  4. Step 4: Simplify right side
    181,098.97x = 13,033,901,285.59
  5. Step 5: Solve for x
    x = 13,033,901,285.59/181,098.97
  6. Step 6: Final answer
    x = 71,971.15

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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.