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Finding the Fourth Proportional to 202,458.93, 303,424.98 and 82,375.94

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Solution

The fourth proportional to 202,458.93, 303,424.98 and 82,375.94 is: 123,456.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,458.93 : 303,424.98 = 82,375.94 : x
  2. Step 2: Convert to fraction form
    202,458.93/303,424.98 = 82,375.94/x
  3. Step 3: Cross multiply
    202,458.93x = 303,424.98 × 82,375.94
  4. Step 4: Simplify right side
    202,458.93x = 24,994,916,429.86
  5. Step 5: Solve for x
    x = 24,994,916,429.86/202,458.93
  6. Step 6: Final answer
    x = 123,456.72

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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.