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Finding the Fourth Proportional to 226,924.56, 340,229.22 and 100,495.91

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Solution

The fourth proportional to 226,924.56, 340,229.22 and 100,495.91 is: 150,674.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,924.56 : 340,229.22 = 100,495.91 : x
  2. Step 2: Convert to fraction form
    226,924.56/340,229.22 = 100,495.91/x
  3. Step 3: Cross multiply
    226,924.56x = 340,229.22 × 100,495.91
  4. Step 4: Simplify right side
    226,924.56x = 34,191,643,371.34
  5. Step 5: Solve for x
    x = 34,191,643,371.34/226,924.56
  6. Step 6: Final answer
    x = 150,674.05

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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.