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Finding the Fourth Proportional to 137,874.20, 206,811.30 and 102,882.20

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Solution

The fourth proportional to 137,874.20, 206,811.30 and 102,882.20 is: 154,323.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,874.20 : 206,811.30 = 102,882.20 : x
  2. Step 2: Convert to fraction form
    137,874.20/206,811.30 = 102,882.20/x
  3. Step 3: Cross multiply
    137,874.20x = 206,811.30 × 102,882.20
  4. Step 4: Simplify right side
    137,874.20x = 21,277,201,528.86
  5. Step 5: Solve for x
    x = 21,277,201,528.86/137,874.20
  6. Step 6: Final answer
    x = 154,323.30

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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.