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Finding the Fourth Proportional to 197,057.37, 271,940.01 and 111,017.38

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Solution

The fourth proportional to 197,057.37, 271,940.01 and 111,017.38 is: 153,204.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,057.37 : 271,940.01 = 111,017.38 : x
  2. Step 2: Convert to fraction form
    197,057.37/271,940.01 = 111,017.38/x
  3. Step 3: Cross multiply
    197,057.37x = 271,940.01 × 111,017.38
  4. Step 4: Simplify right side
    197,057.37x = 30,190,067,427.37
  5. Step 5: Solve for x
    x = 30,190,067,427.37/197,057.37
  6. Step 6: Final answer
    x = 153,204.46

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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.