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Finding the Fourth Proportional to 270,596.92, 405,891.16 and 93,105.48

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Solution

The fourth proportional to 270,596.92, 405,891.16 and 93,105.48 is: 139,656.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,596.92 : 405,891.16 = 93,105.48 : x
  2. Step 2: Convert to fraction form
    270,596.92/405,891.16 = 93,105.48/x
  3. Step 3: Cross multiply
    270,596.92x = 405,891.16 × 93,105.48
  4. Step 4: Simplify right side
    270,596.92x = 37,790,691,279.56
  5. Step 5: Solve for x
    x = 37,790,691,279.56/270,596.92
  6. Step 6: Final answer
    x = 139,656.77

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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.