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Finding the Fourth Proportional to 202,472.52, 303,723.36 and 77,813.52

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Solution

The fourth proportional to 202,472.52, 303,723.36 and 77,813.52 is: 116,725.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,472.52 : 303,723.36 = 77,813.52 : x
  2. Step 2: Convert to fraction form
    202,472.52/303,723.36 = 77,813.52/x
  3. Step 3: Cross multiply
    202,472.52x = 303,723.36 × 77,813.52
  4. Step 4: Simplify right side
    202,472.52x = 23,633,783,747.83
  5. Step 5: Solve for x
    x = 23,633,783,747.83/202,472.52
  6. Step 6: Final answer
    x = 116,725.88

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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.