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Finding the Fourth Proportional to 263,576, 363,734.34 and 142,717.25

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Solution

The fourth proportional to 263,576, 363,734.34 and 142,717.25 is: 196,949.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,576 : 363,734.34 = 142,717.25 : x
  2. Step 2: Convert to fraction form
    263,576/363,734.34 = 142,717.25/x
  3. Step 3: Cross multiply
    263,576x = 363,734.34 × 142,717.25
  4. Step 4: Simplify right side
    263,576x = 51,911,164,735.37
  5. Step 5: Solve for x
    x = 51,911,164,735.37/263,576
  6. Step 6: Final answer
    x = 196,949.51

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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.