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Finding the Fourth Proportional to 263,414.94, 363,512.58 and 142,556.25

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Solution

The fourth proportional to 263,414.94, 363,512.58 and 142,556.25 is: 196,727.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,414.94 : 363,512.58 = 142,556.25 : x
  2. Step 2: Convert to fraction form
    263,414.94/363,512.58 = 142,556.25/x
  3. Step 3: Cross multiply
    263,414.94x = 363,512.58 × 142,556.25
  4. Step 4: Simplify right side
    263,414.94x = 51,820,990,232.63
  5. Step 5: Solve for x
    x = 51,820,990,232.63/263,414.94
  6. Step 6: Final answer
    x = 196,727.60

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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.