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Finding the Fourth Proportional to 197,703.73, 296,494.26 and 71,327.54

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Solution

The fourth proportional to 197,703.73, 296,494.26 and 71,327.54 is: 106,969.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,703.73 : 296,494.26 = 71,327.54 : x
  2. Step 2: Convert to fraction form
    197,703.73/296,494.26 = 71,327.54/x
  3. Step 3: Cross multiply
    197,703.73x = 296,494.26 × 71,327.54
  4. Step 4: Simplify right side
    197,703.73x = 21,148,206,596.81
  5. Step 5: Solve for x
    x = 21,148,206,596.81/197,703.73
  6. Step 6: Final answer
    x = 106,969.19

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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.