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Finding the Fourth Proportional to 270,891.92, 406,352.46 and 112,961.36

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Solution

The fourth proportional to 270,891.92, 406,352.46 and 112,961.36 is: 169,448.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,891.92 : 406,352.46 = 112,961.36 : x
  2. Step 2: Convert to fraction form
    270,891.92/406,352.46 = 112,961.36/x
  3. Step 3: Cross multiply
    270,891.92x = 406,352.46 × 112,961.36
  4. Step 4: Simplify right side
    270,891.92x = 45,902,126,520.95
  5. Step 5: Solve for x
    x = 45,902,126,520.95/270,891.92
  6. Step 6: Final answer
    x = 169,448.12

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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.