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Finding the Fourth Proportional to 271,280.80, 406,921.20 and 123,824.80

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Solution

The fourth proportional to 271,280.80, 406,921.20 and 123,824.80 is: 185,737.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,280.80 : 406,921.20 = 123,824.80 : x
  2. Step 2: Convert to fraction form
    271,280.80/406,921.20 = 123,824.80/x
  3. Step 3: Cross multiply
    271,280.80x = 406,921.20 × 123,824.80
  4. Step 4: Simplify right side
    271,280.80x = 50,386,936,205.76
  5. Step 5: Solve for x
    x = 50,386,936,205.76/271,280.80
  6. Step 6: Final answer
    x = 185,737.20

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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.