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Finding the Fourth Proportional to 181,097.97, 271,657.81 and 47,977.85

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Solution

The fourth proportional to 181,097.97, 271,657.81 and 47,977.85 is: 71,969.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,097.97 : 271,657.81 = 47,977.85 : x
  2. Step 2: Convert to fraction form
    181,097.97/271,657.81 = 47,977.85/x
  3. Step 3: Cross multiply
    181,097.97x = 271,657.81 × 47,977.85
  4. Step 4: Simplify right side
    181,097.97x = 13,033,557,289.95
  5. Step 5: Solve for x
    x = 13,033,557,289.95/181,097.97
  6. Step 6: Final answer
    x = 71,969.65

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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.