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Finding the Fourth Proportional to 234,213.92, 323,216.32 and 126,784.04

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Solution

The fourth proportional to 234,213.92, 323,216.32 and 126,784.04 is: 174,962.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,213.92 : 323,216.32 = 126,784.04 : x
  2. Step 2: Convert to fraction form
    234,213.92/323,216.32 = 126,784.04/x
  3. Step 3: Cross multiply
    234,213.92x = 323,216.32 × 126,784.04
  4. Step 4: Simplify right side
    234,213.92x = 40,978,670,843.53
  5. Step 5: Solve for x
    x = 40,978,670,843.53/234,213.92
  6. Step 6: Final answer
    x = 174,962.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.