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Finding the Fourth Proportional to 234,223.50, 351,344.97 and 68,011.50

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Solution

The fourth proportional to 234,223.50, 351,344.97 and 68,011.50 is: 102,020.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,223.50 : 351,344.97 = 68,011.50 : x
  2. Step 2: Convert to fraction form
    234,223.50/351,344.97 = 68,011.50/x
  3. Step 3: Cross multiply
    234,223.50x = 351,344.97 × 68,011.50
  4. Step 4: Simplify right side
    234,223.50x = 23,895,498,427.16
  5. Step 5: Solve for x
    x = 23,895,498,427.16/234,223.50
  6. Step 6: Final answer
    x = 102,020.07

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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.