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Finding the Fourth Proportional to 271,903.80, 407,913.30 and 82,348.60

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Solution

The fourth proportional to 271,903.80, 407,913.30 and 82,348.60 is: 123,540.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,903.80 : 407,913.30 = 82,348.60 : x
  2. Step 2: Convert to fraction form
    271,903.80/407,913.30 = 82,348.60/x
  3. Step 3: Cross multiply
    271,903.80x = 407,913.30 × 82,348.60
  4. Step 4: Simplify right side
    271,903.80x = 33,591,089,176.38
  5. Step 5: Solve for x
    x = 33,591,089,176.38/271,903.80
  6. Step 6: Final answer
    x = 123,540.34

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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.