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Finding the Fourth Proportional to 204,837, 307,255.68 and 57,093

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Solution

The fourth proportional to 204,837, 307,255.68 and 57,093 is: 85,639.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,837 : 307,255.68 = 57,093 : x
  2. Step 2: Convert to fraction form
    204,837/307,255.68 = 57,093/x
  3. Step 3: Cross multiply
    204,837x = 307,255.68 × 57,093
  4. Step 4: Simplify right side
    204,837x = 17,542,148,538.24
  5. Step 5: Solve for x
    x = 17,542,148,538.24/204,837
  6. Step 6: Final answer
    x = 85,639.55

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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.