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Finding the Fourth Proportional to 222,456.20, 306,743.56 and 141,755.90

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Solution

The fourth proportional to 222,456.20, 306,743.56 and 141,755.90 is: 195,466.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,456.20 : 306,743.56 = 141,755.90 : x
  2. Step 2: Convert to fraction form
    222,456.20/306,743.56 = 141,755.90/x
  3. Step 3: Cross multiply
    222,456.20x = 306,743.56 × 141,755.90
  4. Step 4: Simplify right side
    222,456.20x = 43,482,707,528.90
  5. Step 5: Solve for x
    x = 43,482,707,528.90/222,456.20
  6. Step 6: Final answer
    x = 195,466.38

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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.