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Finding the Fourth Proportional to 235,176, 324,546.37 and 133,198.92

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Solution

The fourth proportional to 235,176, 324,546.37 and 133,198.92 is: 183,816.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,176 : 324,546.37 = 133,198.92 : x
  2. Step 2: Convert to fraction form
    235,176/324,546.37 = 133,198.92/x
  3. Step 3: Cross multiply
    235,176x = 324,546.37 × 133,198.92
  4. Step 4: Simplify right side
    235,176x = 43,229,225,640.92
  5. Step 5: Solve for x
    x = 43,229,225,640.92/235,176
  6. Step 6: Final answer
    x = 183,816.48

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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.