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Finding the Fourth Proportional to 197,205.30, 295,938.97 and 72,546.30

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Solution

The fourth proportional to 197,205.30, 295,938.97 and 72,546.30 is: 108,867.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,205.30 : 295,938.97 = 72,546.30 : x
  2. Step 2: Convert to fraction form
    197,205.30/295,938.97 = 72,546.30/x
  3. Step 3: Cross multiply
    197,205.30x = 295,938.97 × 72,546.30
  4. Step 4: Simplify right side
    197,205.30x = 21,469,277,117.95
  5. Step 5: Solve for x
    x = 21,469,277,117.95/197,205.30
  6. Step 6: Final answer
    x = 108,867.65

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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.