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Finding the Fourth Proportional to 234,006.52, 351,046.24 and 76,198.28

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Solution

The fourth proportional to 234,006.52, 351,046.24 and 76,198.28 is: 114,309.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,006.52 : 351,046.24 = 76,198.28 : x
  2. Step 2: Convert to fraction form
    234,006.52/351,046.24 = 76,198.28/x
  3. Step 3: Cross multiply
    234,006.52x = 351,046.24 × 76,198.28
  4. Step 4: Simplify right side
    234,006.52x = 26,749,119,688.47
  5. Step 5: Solve for x
    x = 26,749,119,688.47/234,006.52
  6. Step 6: Final answer
    x = 114,309.29

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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.