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Finding the Fourth Proportional to 263,301.54, 363,354.48 and 142,442.34

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Solution

The fourth proportional to 263,301.54, 363,354.48 and 142,442.34 is: 196,569.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,301.54 : 363,354.48 = 142,442.34 : x
  2. Step 2: Convert to fraction form
    263,301.54/363,354.48 = 142,442.34/x
  3. Step 3: Cross multiply
    263,301.54x = 363,354.48 × 142,442.34
  4. Step 4: Simplify right side
    263,301.54x = 51,757,062,380.68
  5. Step 5: Solve for x
    x = 51,757,062,380.68/263,301.54
  6. Step 6: Final answer
    x = 196,569.54

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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.