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Finding the Fourth Proportional to 270,836.20, 406,292.10 and 113,028.48

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Solution

The fourth proportional to 270,836.20, 406,292.10 and 113,028.48 is: 169,558.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,836.20 : 406,292.10 = 113,028.48 : x
  2. Step 2: Convert to fraction form
    270,836.20/406,292.10 = 113,028.48/x
  3. Step 3: Cross multiply
    270,836.20x = 406,292.10 × 113,028.48
  4. Step 4: Simplify right side
    270,836.20x = 45,922,578,499.01
  5. Step 5: Solve for x
    x = 45,922,578,499.01/270,836.20
  6. Step 6: Final answer
    x = 169,558.50

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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.