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Finding the Fourth Proportional to 234,057.96, 351,121.50 and 67,824.36

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Solution

The fourth proportional to 234,057.96, 351,121.50 and 67,824.36 is: 101,746.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,057.96 : 351,121.50 = 67,824.36 : x
  2. Step 2: Convert to fraction form
    234,057.96/351,121.50 = 67,824.36/x
  3. Step 3: Cross multiply
    234,057.96x = 351,121.50 × 67,824.36
  4. Step 4: Simplify right side
    234,057.96x = 23,814,591,019.74
  5. Step 5: Solve for x
    x = 23,814,591,019.74/234,057.96
  6. Step 6: Final answer
    x = 101,746.55

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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.