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Finding the Fourth Proportional to 270,189.98, 405,293.20 and 92,694.47

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Solution

The fourth proportional to 270,189.98, 405,293.20 and 92,694.47 is: 139,044.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,189.98 : 405,293.20 = 92,694.47 : x
  2. Step 2: Convert to fraction form
    270,189.98/405,293.20 = 92,694.47/x
  3. Step 3: Cross multiply
    270,189.98x = 405,293.20 × 92,694.47
  4. Step 4: Simplify right side
    270,189.98x = 37,568,439,150.10
  5. Step 5: Solve for x
    x = 37,568,439,150.10/270,189.98
  6. Step 6: Final answer
    x = 139,044.53

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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.