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Finding the Fourth Proportional to 234,225, 351,347.22 and 68,013

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Solution

The fourth proportional to 234,225, 351,347.22 and 68,013 is: 102,022.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,225 : 351,347.22 = 68,013 : x
  2. Step 2: Convert to fraction form
    234,225/351,347.22 = 68,013/x
  3. Step 3: Cross multiply
    234,225x = 351,347.22 × 68,013
  4. Step 4: Simplify right side
    234,225x = 23,896,178,473.86
  5. Step 5: Solve for x
    x = 23,896,178,473.86/234,225
  6. Step 6: Final answer
    x = 102,022.32

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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.