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Finding the Fourth Proportional to 204,754.50, 307,142.69 and 64,524.06

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Solution

The fourth proportional to 204,754.50, 307,142.69 and 64,524.06 is: 96,789.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,754.50 : 307,142.69 = 64,524.06 : x
  2. Step 2: Convert to fraction form
    204,754.50/307,142.69 = 64,524.06/x
  3. Step 3: Cross multiply
    204,754.50x = 307,142.69 × 64,524.06
  4. Step 4: Simplify right side
    204,754.50x = 19,818,093,035.50
  5. Step 5: Solve for x
    x = 19,818,093,035.50/204,754.50
  6. Step 6: Final answer
    x = 96,789.54

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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.