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Finding the Fourth Proportional to 222,274.50, 306,736.34 and 120,297.66

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Solution

The fourth proportional to 222,274.50, 306,736.34 and 120,297.66 is: 166,009.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,274.50 : 306,736.34 = 120,297.66 : x
  2. Step 2: Convert to fraction form
    222,274.50/306,736.34 = 120,297.66/x
  3. Step 3: Cross multiply
    222,274.50x = 306,736.34 × 120,297.66
  4. Step 4: Simplify right side
    222,274.50x = 36,899,663,337.48
  5. Step 5: Solve for x
    x = 36,899,663,337.48/222,274.50
  6. Step 6: Final answer
    x = 166,009.43

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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.