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Finding the Fourth Proportional to 271,754.20, 407,790.06 and 113,969.44

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Solution

The fourth proportional to 271,754.20, 407,790.06 and 113,969.44 is: 171,020.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,754.20 : 407,790.06 = 113,969.44 : x
  2. Step 2: Convert to fraction form
    271,754.20/407,790.06 = 113,969.44/x
  3. Step 3: Cross multiply
    271,754.20x = 407,790.06 × 113,969.44
  4. Step 4: Simplify right side
    271,754.20x = 46,475,604,775.77
  5. Step 5: Solve for x
    x = 46,475,604,775.77/271,754.20
  6. Step 6: Final answer
    x = 171,020.74

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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.