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Finding the Fourth Proportional to 202,643.50, 303,965.26 and 54,899.50

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Solution

The fourth proportional to 202,643.50, 303,965.26 and 54,899.50 is: 82,349.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,643.50 : 303,965.26 = 54,899.50 : x
  2. Step 2: Convert to fraction form
    202,643.50/303,965.26 = 54,899.50/x
  3. Step 3: Cross multiply
    202,643.50x = 303,965.26 × 54,899.50
  4. Step 4: Simplify right side
    202,643.50x = 16,687,540,791.37
  5. Step 5: Solve for x
    x = 16,687,540,791.37/202,643.50
  6. Step 6: Final answer
    x = 82,349.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.