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Finding the Fourth Proportional to 263,326.54, 363,390.23 and 142,467.42

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Solution

The fourth proportional to 263,326.54, 363,390.23 and 142,467.42 is: 196,604.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,326.54 : 363,390.23 = 142,467.42 : x
  2. Step 2: Convert to fraction form
    263,326.54/363,390.23 = 142,467.42/x
  3. Step 3: Cross multiply
    263,326.54x = 363,390.23 × 142,467.42
  4. Step 4: Simplify right side
    263,326.54x = 51,771,268,521.31
  5. Step 5: Solve for x
    x = 51,771,268,521.31/263,326.54
  6. Step 6: Final answer
    x = 196,604.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.