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Finding the Fourth Proportional to 270,054.20, 404,757.30 and 112,201.40

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Solution

The fourth proportional to 270,054.20, 404,757.30 and 112,201.40 is: 168,167.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,054.20 : 404,757.30 = 112,201.40 : x
  2. Step 2: Convert to fraction form
    270,054.20/404,757.30 = 112,201.40/x
  3. Step 3: Cross multiply
    270,054.20x = 404,757.30 × 112,201.40
  4. Step 4: Simplify right side
    270,054.20x = 45,414,335,720.22
  5. Step 5: Solve for x
    x = 45,414,335,720.22/270,054.20
  6. Step 6: Final answer
    x = 168,167.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.