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Finding the Fourth Proportional to 222,536, 307,099.68 and 133,112

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Solution

The fourth proportional to 222,536, 307,099.68 and 133,112 is: 183,694.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,536 : 307,099.68 = 133,112 : x
  2. Step 2: Convert to fraction form
    222,536/307,099.68 = 133,112/x
  3. Step 3: Cross multiply
    222,536x = 307,099.68 × 133,112
  4. Step 4: Simplify right side
    222,536x = 40,878,652,604.16
  5. Step 5: Solve for x
    x = 40,878,652,604.16/222,536
  6. Step 6: Final answer
    x = 183,694.56

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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.