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Finding the Fourth Proportional to 234,266.99, 323,288.01 and 126,837

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Solution

The fourth proportional to 234,266.99, 323,288.01 and 126,837 is: 175,034.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,266.99 : 323,288.01 = 126,837 : x
  2. Step 2: Convert to fraction form
    234,266.99/323,288.01 = 126,837/x
  3. Step 3: Cross multiply
    234,266.99x = 323,288.01 × 126,837
  4. Step 4: Simplify right side
    234,266.99x = 41,004,881,324.37
  5. Step 5: Solve for x
    x = 41,004,881,324.37/234,266.99
  6. Step 6: Final answer
    x = 175,034.83

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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.