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Finding the Fourth Proportional to 195,050, 269,092.80 and 113,364.68

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Solution

The fourth proportional to 195,050, 269,092.80 and 113,364.68 is: 156,398.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,050 : 269,092.80 = 113,364.68 : x
  2. Step 2: Convert to fraction form
    195,050/269,092.80 = 113,364.68/x
  3. Step 3: Cross multiply
    195,050x = 269,092.80 × 113,364.68
  4. Step 4: Simplify right side
    195,050x = 30,505,619,162.30
  5. Step 5: Solve for x
    x = 30,505,619,162.30/195,050
  6. Step 6: Final answer
    x = 156,398.97

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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.