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Finding the Fourth Proportional to 271,928.80, 407,731.20 and 166,823.20

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Solution

The fourth proportional to 271,928.80, 407,731.20 and 166,823.20 is: 250,135.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,928.80 : 407,731.20 = 166,823.20 : x
  2. Step 2: Convert to fraction form
    271,928.80/407,731.20 = 166,823.20/x
  3. Step 3: Cross multiply
    271,928.80x = 407,731.20 × 166,823.20
  4. Step 4: Simplify right side
    271,928.80x = 68,019,023,523.84
  5. Step 5: Solve for x
    x = 68,019,023,523.84/271,928.80
  6. Step 6: Final answer
    x = 250,135.42

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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.