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Finding the Fourth Proportional to 234,206.28, 323,248.44 and 133,604.28

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Solution

The fourth proportional to 234,206.28, 323,248.44 and 133,604.28 is: 184,398.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,206.28 : 323,248.44 = 133,604.28 : x
  2. Step 2: Convert to fraction form
    234,206.28/323,248.44 = 133,604.28/x
  3. Step 3: Cross multiply
    234,206.28x = 323,248.44 × 133,604.28
  4. Step 4: Simplify right side
    234,206.28x = 43,187,375,087.32
  5. Step 5: Solve for x
    x = 43,187,375,087.32/234,206.28
  6. Step 6: Final answer
    x = 184,398.88

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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.