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Finding the Fourth Proportional to 226,434.39, 312,399.78 and 135,819.69

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Solution

The fourth proportional to 226,434.39, 312,399.78 and 135,819.69 is: 187,383.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,434.39 : 312,399.78 = 135,819.69 : x
  2. Step 2: Convert to fraction form
    226,434.39/312,399.78 = 135,819.69/x
  3. Step 3: Cross multiply
    226,434.39x = 312,399.78 × 135,819.69
  4. Step 4: Simplify right side
    226,434.39x = 42,430,041,275.67
  5. Step 5: Solve for x
    x = 42,430,041,275.67/226,434.39
  6. Step 6: Final answer
    x = 187,383.38

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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.