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Finding the Fourth Proportional to 271,772.86, 407,680.65 and 72,093.28

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Solution

The fourth proportional to 271,772.86, 407,680.65 and 72,093.28 is: 108,145.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,772.86 : 407,680.65 = 72,093.28 : x
  2. Step 2: Convert to fraction form
    271,772.86/407,680.65 = 72,093.28/x
  3. Step 3: Cross multiply
    271,772.86x = 407,680.65 × 72,093.28
  4. Step 4: Simplify right side
    271,772.86x = 29,391,035,251.03
  5. Step 5: Solve for x
    x = 29,391,035,251.03/271,772.86
  6. Step 6: Final answer
    x = 108,145.59

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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.