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Finding the Fourth Proportional to 263,764.33, 363,994.28 and 142,908.68

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Solution

The fourth proportional to 263,764.33, 363,994.28 and 142,908.68 is: 197,213.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,764.33 : 363,994.28 = 142,908.68 : x
  2. Step 2: Convert to fraction form
    263,764.33/363,994.28 = 142,908.68/x
  3. Step 3: Cross multiply
    263,764.33x = 363,994.28 × 142,908.68
  4. Step 4: Simplify right side
    263,764.33x = 52,017,942,082.35
  5. Step 5: Solve for x
    x = 52,017,942,082.35/263,764.33
  6. Step 6: Final answer
    x = 197,213.71

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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.