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Finding the Fourth Proportional to 263,965.24, 364,267.56 and 149,242

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Solution

The fourth proportional to 263,965.24, 364,267.56 and 149,242 is: 205,951.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,965.24 : 364,267.56 = 149,242 : x
  2. Step 2: Convert to fraction form
    263,965.24/364,267.56 = 149,242/x
  3. Step 3: Cross multiply
    263,965.24x = 364,267.56 × 149,242
  4. Step 4: Simplify right side
    263,965.24x = 54,364,019,189.52
  5. Step 5: Solve for x
    x = 54,364,019,189.52/263,965.24
  6. Step 6: Final answer
    x = 205,951.43

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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.