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Finding the Fourth Proportional to 234,224, 351,345.72 and 68,012

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Solution

The fourth proportional to 234,224, 351,345.72 and 68,012 is: 102,020.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,224 : 351,345.72 = 68,012 : x
  2. Step 2: Convert to fraction form
    234,224/351,345.72 = 68,012/x
  3. Step 3: Cross multiply
    234,224x = 351,345.72 × 68,012
  4. Step 4: Simplify right side
    234,224x = 23,895,725,108.64
  5. Step 5: Solve for x
    x = 23,895,725,108.64/234,224
  6. Step 6: Final answer
    x = 102,020.82

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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.