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Finding the Fourth Proportional to 148,298.38, 204,650.67 and 80,313.78

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Solution

The fourth proportional to 148,298.38, 204,650.67 and 80,313.78 is: 110,832.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,298.38 : 204,650.67 = 80,313.78 : x
  2. Step 2: Convert to fraction form
    148,298.38/204,650.67 = 80,313.78/x
  3. Step 3: Cross multiply
    148,298.38x = 204,650.67 × 80,313.78
  4. Step 4: Simplify right side
    148,298.38x = 16,436,268,887.23
  5. Step 5: Solve for x
    x = 16,436,268,887.23/148,298.38
  6. Step 6: Final answer
    x = 110,832.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.