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Finding the Fourth Proportional to 165,073.26, 227,803.92 and 89,621.76

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Solution

The fourth proportional to 165,073.26, 227,803.92 and 89,621.76 is: 123,679.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,073.26 : 227,803.92 = 89,621.76 : x
  2. Step 2: Convert to fraction form
    165,073.26/227,803.92 = 89,621.76/x
  3. Step 3: Cross multiply
    165,073.26x = 227,803.92 × 89,621.76
  4. Step 4: Simplify right side
    165,073.26x = 20,416,188,245.30
  5. Step 5: Solve for x
    x = 20,416,188,245.30/165,073.26
  6. Step 6: Final answer
    x = 123,679.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.