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Finding the Fourth Proportional to 222,287.19, 306,755.45 and 120,314.39

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Solution

The fourth proportional to 222,287.19, 306,755.45 and 120,314.39 is: 166,033.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,287.19 : 306,755.45 = 120,314.39 : x
  2. Step 2: Convert to fraction form
    222,287.19/306,755.45 = 120,314.39/x
  3. Step 3: Cross multiply
    222,287.19x = 306,755.45 × 120,314.39
  4. Step 4: Simplify right side
    222,287.19x = 36,907,094,701.27
  5. Step 5: Solve for x
    x = 36,907,094,701.27/222,287.19
  6. Step 6: Final answer
    x = 166,033.38

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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.