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Finding the Fourth Proportional to 260,129.67, 358,872.71 and 206,198.25

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Solution

The fourth proportional to 260,129.67, 358,872.71 and 206,198.25 is: 284,469.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,129.67 : 358,872.71 = 206,198.25 : x
  2. Step 2: Convert to fraction form
    260,129.67/358,872.71 = 206,198.25/x
  3. Step 3: Cross multiply
    260,129.67x = 358,872.71 × 206,198.25
  4. Step 4: Simplify right side
    260,129.67x = 73,998,923,743.77
  5. Step 5: Solve for x
    x = 73,998,923,743.77/260,129.67
  6. Step 6: Final answer
    x = 284,469.37

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1.5x scale

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.