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Finding the Fourth Proportional to 263,952.92, 364,169.34 and 149,220.44

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Solution

The fourth proportional to 263,952.92, 364,169.34 and 149,220.44 is: 205,875.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,952.92 : 364,169.34 = 149,220.44 : x
  2. Step 2: Convert to fraction form
    263,952.92/364,169.34 = 149,220.44/x
  3. Step 3: Cross multiply
    263,952.92x = 364,169.34 × 149,220.44
  4. Step 4: Simplify right side
    263,952.92x = 54,341,509,149.31
  5. Step 5: Solve for x
    x = 54,341,509,149.31/263,952.92
  6. Step 6: Final answer
    x = 205,875.76

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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.