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Finding the Fourth Proportional to 222,713.26, 307,344.37 and 120,738.69

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Solution

The fourth proportional to 222,713.26, 307,344.37 and 120,738.69 is: 166,619.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,713.26 : 307,344.37 = 120,738.69 : x
  2. Step 2: Convert to fraction form
    222,713.26/307,344.37 = 120,738.69/x
  3. Step 3: Cross multiply
    222,713.26x = 307,344.37 × 120,738.69
  4. Step 4: Simplify right side
    222,713.26x = 37,108,356,310.83
  5. Step 5: Solve for x
    x = 37,108,356,310.83/222,713.26
  6. Step 6: Final answer
    x = 166,619.43

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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.