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Finding the Fourth Proportional to 137,894.20, 206,841.30 and 102,902.20

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Solution

The fourth proportional to 137,894.20, 206,841.30 and 102,902.20 is: 154,353.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,894.20 : 206,841.30 = 102,902.20 : x
  2. Step 2: Convert to fraction form
    137,894.20/206,841.30 = 102,902.20/x
  3. Step 3: Cross multiply
    137,894.20x = 206,841.30 × 102,902.20
  4. Step 4: Simplify right side
    137,894.20x = 21,284,424,820.86
  5. Step 5: Solve for x
    x = 21,284,424,820.86/137,894.20
  6. Step 6: Final answer
    x = 154,353.30

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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.