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Finding the Fourth Proportional to 222,224.64, 306,350.64 and 158,451.84

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Solution

The fourth proportional to 222,224.64, 306,350.64 and 158,451.84 is: 218,435.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,224.64 : 306,350.64 = 158,451.84 : x
  2. Step 2: Convert to fraction form
    222,224.64/306,350.64 = 158,451.84/x
  3. Step 3: Cross multiply
    222,224.64x = 306,350.64 × 158,451.84
  4. Step 4: Simplify right side
    222,224.64x = 48,541,822,593.18
  5. Step 5: Solve for x
    x = 48,541,822,593.18/222,224.64
  6. Step 6: Final answer
    x = 218,435.83

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1.5x scale

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.