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Finding the Fourth Proportional to 150,564, 225,949.68 and 52,068

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Solution

The fourth proportional to 150,564, 225,949.68 and 52,068 is: 78,137.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,564 : 225,949.68 = 52,068 : x
  2. Step 2: Convert to fraction form
    150,564/225,949.68 = 52,068/x
  3. Step 3: Cross multiply
    150,564x = 225,949.68 × 52,068
  4. Step 4: Simplify right side
    150,564x = 11,764,747,938.24
  5. Step 5: Solve for x
    x = 11,764,747,938.24/150,564
  6. Step 6: Final answer
    x = 78,137.85

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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.