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Finding the Fourth Proportional to 202,382.14, 303,572.73 and 82,488.98

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Solution

The fourth proportional to 202,382.14, 303,572.73 and 82,488.98 is: 123,733.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,382.14 : 303,572.73 = 82,488.98 : x
  2. Step 2: Convert to fraction form
    202,382.14/303,572.73 = 82,488.98/x
  3. Step 3: Cross multiply
    202,382.14x = 303,572.73 × 82,488.98
  4. Step 4: Simplify right side
    202,382.14x = 25,041,404,853.52
  5. Step 5: Solve for x
    x = 25,041,404,853.52/202,382.14
  6. Step 6: Final answer
    x = 123,733.27

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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.