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Finding the Fourth Proportional to 263,343.86, 363,414.51 and 142,485.15

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Solution

The fourth proportional to 263,343.86, 363,414.51 and 142,485.15 is: 196,629.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,343.86 : 363,414.51 = 142,485.15 : x
  2. Step 2: Convert to fraction form
    263,343.86/363,414.51 = 142,485.15/x
  3. Step 3: Cross multiply
    263,343.86x = 363,414.51 × 142,485.15
  4. Step 4: Simplify right side
    263,343.86x = 51,781,170,969.53
  5. Step 5: Solve for x
    x = 51,781,170,969.53/263,343.86
  6. Step 6: Final answer
    x = 196,629.50

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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.