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Finding the Fourth Proportional to 270,922.40, 406,186.72 and 113,195.96

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Solution

The fourth proportional to 270,922.40, 406,186.72 and 113,195.96 is: 169,711.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,922.40 : 406,186.72 = 113,195.96 : x
  2. Step 2: Convert to fraction form
    270,922.40/406,186.72 = 113,195.96/x
  3. Step 3: Cross multiply
    270,922.40x = 406,186.72 × 113,195.96
  4. Step 4: Simplify right side
    270,922.40x = 45,978,695,709.65
  5. Step 5: Solve for x
    x = 45,978,695,709.65/270,922.40
  6. Step 6: Final answer
    x = 169,711.68

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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.