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Finding the Fourth Proportional to 230,949.20, 346,164.60 and 97,806.80

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Solution

The fourth proportional to 230,949.20, 346,164.60 and 97,806.80 is: 146,600.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,949.20 : 346,164.60 = 97,806.80 : x
  2. Step 2: Convert to fraction form
    230,949.20/346,164.60 = 97,806.80/x
  3. Step 3: Cross multiply
    230,949.20x = 346,164.60 × 97,806.80
  4. Step 4: Simplify right side
    230,949.20x = 33,857,251,799.28
  5. Step 5: Solve for x
    x = 33,857,251,799.28/230,949.20
  6. Step 6: Final answer
    x = 146,600.43

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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.