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Finding the Fourth Proportional to 204,798.75, 307,249.98 and 57,054.75

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Solution

The fourth proportional to 204,798.75, 307,249.98 and 57,054.75 is: 85,596.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,798.75 : 307,249.98 = 57,054.75 : x
  2. Step 2: Convert to fraction form
    204,798.75/307,249.98 = 57,054.75/x
  3. Step 3: Cross multiply
    204,798.75x = 307,249.98 × 57,054.75
  4. Step 4: Simplify right side
    204,798.75x = 17,530,070,796.41
  5. Step 5: Solve for x
    x = 17,530,070,796.41/204,798.75
  6. Step 6: Final answer
    x = 85,596.57

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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.