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Finding the Fourth Proportional to 222,859.50, 334,250.42 and 102,906.24

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Solution

The fourth proportional to 222,859.50, 334,250.42 and 102,906.24 is: 154,341.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,859.50 : 334,250.42 = 102,906.24 : x
  2. Step 2: Convert to fraction form
    222,859.50/334,250.42 = 102,906.24/x
  3. Step 3: Cross multiply
    222,859.50x = 334,250.42 × 102,906.24
  4. Step 4: Simplify right side
    222,859.50x = 34,396,453,426.09
  5. Step 5: Solve for x
    x = 34,396,453,426.09/222,859.50
  6. Step 6: Final answer
    x = 154,341.43

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1.5x scale

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.