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Finding the Fourth Proportional to 195,049, 269,091.42 and 113,363.68

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Solution

The fourth proportional to 195,049, 269,091.42 and 113,363.68 is: 156,397.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,049 : 269,091.42 = 113,363.68 : x
  2. Step 2: Convert to fraction form
    195,049/269,091.42 = 113,363.68/x
  3. Step 3: Cross multiply
    195,049x = 269,091.42 × 113,363.68
  4. Step 4: Simplify right side
    195,049x = 30,505,193,627.63
  5. Step 5: Solve for x
    x = 30,505,193,627.63/195,049
  6. Step 6: Final answer
    x = 156,397.59

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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.