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Finding the Fourth Proportional to 222,286.76, 306,752.10 and 126,793.16

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Solution

The fourth proportional to 222,286.76, 306,752.10 and 126,793.16 is: 174,972.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,286.76 : 306,752.10 = 126,793.16 : x
  2. Step 2: Convert to fraction form
    222,286.76/306,752.10 = 126,793.16/x
  3. Step 3: Cross multiply
    222,286.76x = 306,752.10 × 126,793.16
  4. Step 4: Simplify right side
    222,286.76x = 38,894,068,095.64
  5. Step 5: Solve for x
    x = 38,894,068,095.64/222,286.76
  6. Step 6: Final answer
    x = 174,972.49

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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.