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Finding the Fourth Proportional to 137,930.60, 206,998.30 and 54,884.20

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Solution

The fourth proportional to 137,930.60, 206,998.30 and 54,884.20 is: 82,367.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,930.60 : 206,998.30 = 54,884.20 : x
  2. Step 2: Convert to fraction form
    137,930.60/206,998.30 = 54,884.20/x
  3. Step 3: Cross multiply
    137,930.60x = 206,998.30 × 54,884.20
  4. Step 4: Simplify right side
    137,930.60x = 11,360,936,096.86
  5. Step 5: Solve for x
    x = 11,360,936,096.86/137,930.60
  6. Step 6: Final answer
    x = 82,367.05

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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.