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Finding the Fourth Proportional to 263,409.68, 363,505.34 and 142,550.98

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Solution

The fourth proportional to 263,409.68, 363,505.34 and 142,550.98 is: 196,720.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,409.68 : 363,505.34 = 142,550.98 : x
  2. Step 2: Convert to fraction form
    263,409.68/363,505.34 = 142,550.98/x
  3. Step 3: Cross multiply
    263,409.68x = 363,505.34 × 142,550.98
  4. Step 4: Simplify right side
    263,409.68x = 51,818,042,452.23
  5. Step 5: Solve for x
    x = 51,818,042,452.23/263,409.68
  6. Step 6: Final answer
    x = 196,720.34

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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.