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Finding the Fourth Proportional to 263,339.86, 363,406.42 and 142,478.49

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Solution

The fourth proportional to 263,339.86, 363,406.42 and 142,478.49 is: 196,618.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,339.86 : 363,406.42 = 142,478.49 : x
  2. Step 2: Convert to fraction form
    263,339.86/363,406.42 = 142,478.49/x
  3. Step 3: Cross multiply
    263,339.86x = 363,406.42 × 142,478.49
  4. Step 4: Simplify right side
    263,339.86x = 51,777,599,518.78
  5. Step 5: Solve for x
    x = 51,777,599,518.78/263,339.86
  6. Step 6: Final answer
    x = 196,618.92

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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.