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Finding the Fourth Proportional to 263,494.62, 363,623.85 and 142,636.01

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Solution

The fourth proportional to 263,494.62, 363,623.85 and 142,636.01 is: 196,838.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,494.62 : 363,623.85 = 142,636.01 : x
  2. Step 2: Convert to fraction form
    263,494.62/363,623.85 = 142,636.01/x
  3. Step 3: Cross multiply
    263,494.62x = 363,623.85 × 142,636.01
  4. Step 4: Simplify right side
    263,494.62x = 51,865,853,286.72
  5. Step 5: Solve for x
    x = 51,865,853,286.72/263,494.62
  6. Step 6: Final answer
    x = 196,838.38

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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.