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Finding the Fourth Proportional to 234,921.69, 352,382.54 and 57,428.42

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Solution

The fourth proportional to 234,921.69, 352,382.54 and 57,428.42 is: 86,142.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,921.69 : 352,382.54 = 57,428.42 : x
  2. Step 2: Convert to fraction form
    234,921.69/352,382.54 = 57,428.42/x
  3. Step 3: Cross multiply
    234,921.69x = 352,382.54 × 57,428.42
  4. Step 4: Simplify right side
    234,921.69x = 20,236,770,458.73
  5. Step 5: Solve for x
    x = 20,236,770,458.73/234,921.69
  6. Step 6: Final answer
    x = 86,142.62

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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.