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Finding the Fourth Proportional to 270,896.67, 406,371.74 and 93,380.31

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Solution

The fourth proportional to 270,896.67, 406,371.74 and 93,380.31 is: 140,079.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,896.67 : 406,371.74 = 93,380.31 : x
  2. Step 2: Convert to fraction form
    270,896.67/406,371.74 = 93,380.31/x
  3. Step 3: Cross multiply
    270,896.67x = 406,371.74 × 93,380.31
  4. Step 4: Simplify right side
    270,896.67x = 37,947,118,589.54
  5. Step 5: Solve for x
    x = 37,947,118,589.54/270,896.67
  6. Step 6: Final answer
    x = 140,079.68

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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.