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Finding the Fourth Proportional to 263,402.99, 363,497.02 and 142,544.24

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Solution

The fourth proportional to 263,402.99, 363,497.02 and 142,544.24 is: 196,711.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,402.99 : 363,497.02 = 142,544.24 : x
  2. Step 2: Convert to fraction form
    263,402.99/363,497.02 = 142,544.24/x
  3. Step 3: Cross multiply
    263,402.99x = 363,497.02 × 142,544.24
  4. Step 4: Simplify right side
    263,402.99x = 51,814,405,647.43
  5. Step 5: Solve for x
    x = 51,814,405,647.43/263,402.99
  6. Step 6: Final answer
    x = 196,711.53

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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.