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Finding the Fourth Proportional to 234,406.41, 351,619.32 and 68,194.41

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Solution

The fourth proportional to 234,406.41, 351,619.32 and 68,194.41 is: 102,294.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,406.41 : 351,619.32 = 68,194.41 : x
  2. Step 2: Convert to fraction form
    234,406.41/351,619.32 = 68,194.41/x
  3. Step 3: Cross multiply
    234,406.41x = 351,619.32 × 68,194.41
  4. Step 4: Simplify right side
    234,406.41x = 23,978,472,072.00
  5. Step 5: Solve for x
    x = 23,978,472,072.00/234,406.41
  6. Step 6: Final answer
    x = 102,294.44

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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.