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Finding the Fourth Proportional to 196,245.82, 270,748.38 and 111,313.68

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Solution

The fourth proportional to 196,245.82, 270,748.38 and 111,313.68 is: 153,572.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,245.82 : 270,748.38 = 111,313.68 : x
  2. Step 2: Convert to fraction form
    196,245.82/270,748.38 = 111,313.68/x
  3. Step 3: Cross multiply
    196,245.82x = 270,748.38 × 111,313.68
  4. Step 4: Simplify right side
    196,245.82x = 30,137,998,531.84
  5. Step 5: Solve for x
    x = 30,137,998,531.84/196,245.82
  6. Step 6: Final answer
    x = 153,572.69

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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.