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Finding the Fourth Proportional to 265,154.26, 397,572.75 and 179,869.92

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Solution

The fourth proportional to 265,154.26, 397,572.75 and 179,869.92 is: 269,697.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,154.26 : 397,572.75 = 179,869.92 : x
  2. Step 2: Convert to fraction form
    265,154.26/397,572.75 = 179,869.92/x
  3. Step 3: Cross multiply
    265,154.26x = 397,572.75 × 179,869.92
  4. Step 4: Simplify right side
    265,154.26x = 71,511,378,736.68
  5. Step 5: Solve for x
    x = 71,511,378,736.68/265,154.26
  6. Step 6: Final answer
    x = 269,697.27

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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.