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Finding the Fourth Proportional to 146,819.10, 206,013.30 and 146,819.10

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Solution

The fourth proportional to 146,819.10, 206,013.30 and 146,819.10 is: 206,013.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,819.10 : 206,013.30 = 146,819.10 : x
  2. Step 2: Convert to fraction form
    146,819.10/206,013.30 = 146,819.10/x
  3. Step 3: Cross multiply
    146,819.10x = 206,013.30 × 146,819.10
  4. Step 4: Simplify right side
    146,819.10x = 30,246,687,294.03
  5. Step 5: Solve for x
    x = 30,246,687,294.03/146,819.10
  6. Step 6: Final answer
    x = 206,013.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.