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Finding the Fourth Proportional to 202,608.52, 303,901.26 and 54,853

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Solution

The fourth proportional to 202,608.52, 303,901.26 and 54,853 is: 82,276.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,608.52 : 303,901.26 = 54,853 : x
  2. Step 2: Convert to fraction form
    202,608.52/303,901.26 = 54,853/x
  3. Step 3: Cross multiply
    202,608.52x = 303,901.26 × 54,853
  4. Step 4: Simplify right side
    202,608.52x = 16,669,895,814.78
  5. Step 5: Solve for x
    x = 16,669,895,814.78/202,608.52
  6. Step 6: Final answer
    x = 82,276.38

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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.