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Finding the Fourth Proportional to 197,703.98, 296,494.63 and 71,327.79

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Solution

The fourth proportional to 197,703.98, 296,494.63 and 71,327.79 is: 106,969.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,703.98 : 296,494.63 = 71,327.79 : x
  2. Step 2: Convert to fraction form
    197,703.98/296,494.63 = 71,327.79/x
  3. Step 3: Cross multiply
    197,703.98x = 296,494.63 × 71,327.79
  4. Step 4: Simplify right side
    197,703.98x = 21,148,307,446.00
  5. Step 5: Solve for x
    x = 21,148,307,446.00/197,703.98
  6. Step 6: Final answer
    x = 106,969.56

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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.