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Finding the Fourth Proportional to 222,251.97, 306,707.69 and 120,277.43

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Solution

The fourth proportional to 222,251.97, 306,707.69 and 120,277.43 is: 165,982.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,251.97 : 306,707.69 = 120,277.43 : x
  2. Step 2: Convert to fraction form
    222,251.97/306,707.69 = 120,277.43/x
  3. Step 3: Cross multiply
    222,251.97x = 306,707.69 × 120,277.43
  4. Step 4: Simplify right side
    222,251.97x = 36,890,010,579.51
  5. Step 5: Solve for x
    x = 36,890,010,579.51/222,251.97
  6. Step 6: Final answer
    x = 165,982.83

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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.