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Finding the Fourth Proportional to 260,299, 359,212.86 and 141,067

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Solution

The fourth proportional to 260,299, 359,212.86 and 141,067 is: 194,672.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,299 : 359,212.86 = 141,067 : x
  2. Step 2: Convert to fraction form
    260,299/359,212.86 = 141,067/x
  3. Step 3: Cross multiply
    260,299x = 359,212.86 × 141,067
  4. Step 4: Simplify right side
    260,299x = 50,673,080,521.62
  5. Step 5: Solve for x
    x = 50,673,080,521.62/260,299
  6. Step 6: Final answer
    x = 194,672.59

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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.