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Finding the Fourth Proportional to 197,063.56, 271,867.20 and 145,504.22

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Solution

The fourth proportional to 197,063.56, 271,867.20 and 145,504.22 is: 200,736.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,063.56 : 271,867.20 = 145,504.22 : x
  2. Step 2: Convert to fraction form
    197,063.56/271,867.20 = 145,504.22/x
  3. Step 3: Cross multiply
    197,063.56x = 271,867.20 × 145,504.22
  4. Step 4: Simplify right side
    197,063.56x = 39,557,824,879.58
  5. Step 5: Solve for x
    x = 39,557,824,879.58/197,063.56
  6. Step 6: Final answer
    x = 200,736.38

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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.