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Finding the Fourth Proportional to 234,889.82, 324,012.39 and 149,911.10

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Solution

The fourth proportional to 234,889.82, 324,012.39 and 149,911.10 is: 206,790.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,889.82 : 324,012.39 = 149,911.10 : x
  2. Step 2: Convert to fraction form
    234,889.82/324,012.39 = 149,911.10/x
  3. Step 3: Cross multiply
    234,889.82x = 324,012.39 × 149,911.10
  4. Step 4: Simplify right side
    234,889.82x = 48,573,053,798.53
  5. Step 5: Solve for x
    x = 48,573,053,798.53/234,889.82
  6. Step 6: Final answer
    x = 206,790.80

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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.