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Finding the Fourth Proportional to 234,320.82, 323,362.90 and 126,890.97

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Solution

The fourth proportional to 234,320.82, 323,362.90 and 126,890.97 is: 175,109.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,320.82 : 323,362.90 = 126,890.97 : x
  2. Step 2: Convert to fraction form
    234,320.82/323,362.90 = 126,890.97/x
  3. Step 3: Cross multiply
    234,320.82x = 323,362.90 × 126,890.97
  4. Step 4: Simplify right side
    234,320.82x = 41,031,830,426.20
  5. Step 5: Solve for x
    x = 41,031,830,426.20/234,320.82
  6. Step 6: Final answer
    x = 175,109.63

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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.