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Finding the Fourth Proportional to 222,251.44, 306,704.80 and 120,274.72

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Solution

The fourth proportional to 222,251.44, 306,704.80 and 120,274.72 is: 165,977.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,251.44 : 306,704.80 = 120,274.72 : x
  2. Step 2: Convert to fraction form
    222,251.44/306,704.80 = 120,274.72/x
  3. Step 3: Cross multiply
    222,251.44x = 306,704.80 × 120,274.72
  4. Step 4: Simplify right side
    222,251.44x = 36,888,833,942.66
  5. Step 5: Solve for x
    x = 36,888,833,942.66/222,251.44
  6. Step 6: Final answer
    x = 165,977.93

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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.