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Finding the Fourth Proportional to 263,403.26, 363,497.41 and 142,544.52

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Solution

The fourth proportional to 263,403.26, 363,497.41 and 142,544.52 is: 196,711.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,403.26 : 363,497.41 = 142,544.52 : x
  2. Step 2: Convert to fraction form
    263,403.26/363,497.41 = 142,544.52/x
  3. Step 3: Cross multiply
    263,403.26x = 363,497.41 × 142,544.52
  4. Step 4: Simplify right side
    263,403.26x = 51,814,563,206.06
  5. Step 5: Solve for x
    x = 51,814,563,206.06/263,403.26
  6. Step 6: Final answer
    x = 196,711.93

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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.