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Finding the Fourth Proportional to 263,216.86, 363,238.22 and 142,358.28

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Solution

The fourth proportional to 263,216.86, 363,238.22 and 142,358.28 is: 196,453.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,216.86 : 363,238.22 = 142,358.28 : x
  2. Step 2: Convert to fraction form
    263,216.86/363,238.22 = 142,358.28/x
  3. Step 3: Cross multiply
    263,216.86x = 363,238.22 × 142,358.28
  4. Step 4: Simplify right side
    263,216.86x = 51,709,968,229.46
  5. Step 5: Solve for x
    x = 51,709,968,229.46/263,216.86
  6. Step 6: Final answer
    x = 196,453.86

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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.