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Finding the Fourth Proportional to 197,846.69, 273,041.82 and 111,775.82

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Solution

The fourth proportional to 197,846.69, 273,041.82 and 111,775.82 is: 154,258.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,846.69 : 273,041.82 = 111,775.82 : x
  2. Step 2: Convert to fraction form
    197,846.69/273,041.82 = 111,775.82/x
  3. Step 3: Cross multiply
    197,846.69x = 273,041.82 × 111,775.82
  4. Step 4: Simplify right side
    197,846.69x = 30,519,471,959.58
  5. Step 5: Solve for x
    x = 30,519,471,959.58/197,846.69
  6. Step 6: Final answer
    x = 154,258.19

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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.