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Finding the Fourth Proportional to 202,038.48, 278,932.71 and 179,620.56

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Solution

The fourth proportional to 202,038.48, 278,932.71 and 179,620.56 is: 247,982.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,038.48 : 278,932.71 = 179,620.56 : x
  2. Step 2: Convert to fraction form
    202,038.48/278,932.71 = 179,620.56/x
  3. Step 3: Cross multiply
    202,038.48x = 278,932.71 × 179,620.56
  4. Step 4: Simplify right side
    202,038.48x = 50,102,049,572.52
  5. Step 5: Solve for x
    x = 50,102,049,572.52/202,038.48
  6. Step 6: Final answer
    x = 247,982.71

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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.