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Finding the Fourth Proportional to 204,768.50, 307,152.75 and 57,024.50

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Solution

The fourth proportional to 204,768.50, 307,152.75 and 57,024.50 is: 85,536.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,768.50 : 307,152.75 = 57,024.50 : x
  2. Step 2: Convert to fraction form
    204,768.50/307,152.75 = 57,024.50/x
  3. Step 3: Cross multiply
    204,768.50x = 307,152.75 × 57,024.50
  4. Step 4: Simplify right side
    204,768.50x = 17,515,231,992.38
  5. Step 5: Solve for x
    x = 17,515,231,992.38/204,768.50
  6. Step 6: Final answer
    x = 85,536.75

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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.