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Finding the Fourth Proportional to 234,891.82, 324,015.15 and 149,913.10

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Solution

The fourth proportional to 234,891.82, 324,015.15 and 149,913.10 is: 206,793.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,891.82 : 324,015.15 = 149,913.10 : x
  2. Step 2: Convert to fraction form
    234,891.82/324,015.15 = 149,913.10/x
  3. Step 3: Cross multiply
    234,891.82x = 324,015.15 × 149,913.10
  4. Step 4: Simplify right side
    234,891.82x = 48,574,115,583.47
  5. Step 5: Solve for x
    x = 48,574,115,583.47/234,891.82
  6. Step 6: Final answer
    x = 206,793.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.