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Finding the Fourth Proportional to 202,562.94, 303,073.47 and 122,305.50

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Solution

The fourth proportional to 202,562.94, 303,073.47 and 122,305.50 is: 182,992.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,562.94 : 303,073.47 = 122,305.50 : x
  2. Step 2: Convert to fraction form
    202,562.94/303,073.47 = 122,305.50/x
  3. Step 3: Cross multiply
    202,562.94x = 303,073.47 × 122,305.50
  4. Step 4: Simplify right side
    202,562.94x = 37,067,552,285.09
  5. Step 5: Solve for x
    x = 37,067,552,285.09/202,562.94
  6. Step 6: Final answer
    x = 182,992.76

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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.