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Finding the Fourth Proportional to 271,754.96, 407,216.76 and 113,897.30

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Solution

The fourth proportional to 271,754.96, 407,216.76 and 113,897.30 is: 170,671.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,754.96 : 407,216.76 = 113,897.30 : x
  2. Step 2: Convert to fraction form
    271,754.96/407,216.76 = 113,897.30/x
  3. Step 3: Cross multiply
    271,754.96x = 407,216.76 × 113,897.30
  4. Step 4: Simplify right side
    271,754.96x = 46,380,889,478.75
  5. Step 5: Solve for x
    x = 46,380,889,478.75/271,754.96
  6. Step 6: Final answer
    x = 170,671.73

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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.