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Finding the Fourth Proportional to 234,147.81, 351,006.42 and 84,351.46

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Solution

The fourth proportional to 234,147.81, 351,006.42 and 84,351.46 is: 126,449.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,147.81 : 351,006.42 = 84,351.46 : x
  2. Step 2: Convert to fraction form
    234,147.81/351,006.42 = 84,351.46/x
  3. Step 3: Cross multiply
    234,147.81x = 351,006.42 × 84,351.46
  4. Step 4: Simplify right side
    234,147.81x = 29,607,903,996.37
  5. Step 5: Solve for x
    x = 29,607,903,996.37/234,147.81
  6. Step 6: Final answer
    x = 126,449.63

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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.