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Finding the Fourth Proportional to 234,021.94, 322,949.91 and 126,591.64

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Solution

The fourth proportional to 234,021.94, 322,949.91 and 126,591.64 is: 174,696.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,021.94 : 322,949.91 = 126,591.64 : x
  2. Step 2: Convert to fraction form
    234,021.94/322,949.91 = 126,591.64/x
  3. Step 3: Cross multiply
    234,021.94x = 322,949.91 × 126,591.64
  4. Step 4: Simplify right side
    234,021.94x = 40,882,758,744.75
  5. Step 5: Solve for x
    x = 40,882,758,744.75/234,021.94
  6. Step 6: Final answer
    x = 174,696.26

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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.