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Finding the Fourth Proportional to 202,997.70, 304,474.67 and 53,253

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Solution

The fourth proportional to 202,997.70, 304,474.67 and 53,253 is: 79,873.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,997.70 : 304,474.67 = 53,253 : x
  2. Step 2: Convert to fraction form
    202,997.70/304,474.67 = 53,253/x
  3. Step 3: Cross multiply
    202,997.70x = 304,474.67 × 53,253
  4. Step 4: Simplify right side
    202,997.70x = 16,214,189,601.51
  5. Step 5: Solve for x
    x = 16,214,189,601.51/202,997.70
  6. Step 6: Final answer
    x = 79,873.76

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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.