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Finding the Fourth Proportional to 234,406.40, 351,619.34 and 68,194.40

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Solution

The fourth proportional to 234,406.40, 351,619.34 and 68,194.40 is: 102,294.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,406.40 : 351,619.34 = 68,194.40 : x
  2. Step 2: Convert to fraction form
    234,406.40/351,619.34 = 68,194.40/x
  3. Step 3: Cross multiply
    234,406.40x = 351,619.34 × 68,194.40
  4. Step 4: Simplify right side
    234,406.40x = 23,978,467,820.63
  5. Step 5: Solve for x
    x = 23,978,467,820.63/234,406.40
  6. Step 6: Final answer
    x = 102,294.43

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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.