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Finding the Fourth Proportional to 263,306.49, 363,362.45 and 142,447.87

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Solution

The fourth proportional to 263,306.49, 363,362.45 and 142,447.87 is: 196,577.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,306.49 : 363,362.45 = 142,447.87 : x
  2. Step 2: Convert to fraction form
    263,306.49/363,362.45 = 142,447.87/x
  3. Step 3: Cross multiply
    263,306.49x = 363,362.45 × 142,447.87
  4. Step 4: Simplify right side
    263,306.49x = 51,760,207,040.48
  5. Step 5: Solve for x
    x = 51,760,207,040.48/263,306.49
  6. Step 6: Final answer
    x = 196,577.79

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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.