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Finding the Fourth Proportional to 263,565.77, 363,719.22 and 142,704.56

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Solution

The fourth proportional to 263,565.77, 363,719.22 and 142,704.56 is: 196,931.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,565.77 : 363,719.22 = 142,704.56 : x
  2. Step 2: Convert to fraction form
    263,565.77/363,719.22 = 142,704.56/x
  3. Step 3: Cross multiply
    263,565.77x = 363,719.22 × 142,704.56
  4. Step 4: Simplify right side
    263,565.77x = 51,904,389,435.05
  5. Step 5: Solve for x
    x = 51,904,389,435.05/263,565.77
  6. Step 6: Final answer
    x = 196,931.45

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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.