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Finding the Fourth Proportional to 222,396.26, 306,928.81 and 126,917.30

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Solution

The fourth proportional to 222,396.26, 306,928.81 and 126,917.30 is: 175,158.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,396.26 : 306,928.81 = 126,917.30 : x
  2. Step 2: Convert to fraction form
    222,396.26/306,928.81 = 126,917.30/x
  3. Step 3: Cross multiply
    222,396.26x = 306,928.81 × 126,917.30
  4. Step 4: Simplify right side
    222,396.26x = 38,954,576,783.38
  5. Step 5: Solve for x
    x = 38,954,576,783.38/222,396.26
  6. Step 6: Final answer
    x = 175,158.42

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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.