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Finding the Fourth Proportional to 222,536, 333,856.50 and 72,775.70

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Solution

The fourth proportional to 222,536, 333,856.50 and 72,775.70 is: 109,180.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,536 : 333,856.50 = 72,775.70 : x
  2. Step 2: Convert to fraction form
    222,536/333,856.50 = 72,775.70/x
  3. Step 3: Cross multiply
    222,536x = 333,856.50 × 72,775.70
  4. Step 4: Simplify right side
    222,536x = 24,296,640,487.05
  5. Step 5: Solve for x
    x = 24,296,640,487.05/222,536
  6. Step 6: Final answer
    x = 109,180.72

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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.