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Finding the Fourth Proportional to 197,791.30, 296,725.14 and 64,635.64

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Solution

The fourth proportional to 197,791.30, 296,725.14 and 64,635.64 is: 96,965.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,791.30 : 296,725.14 = 64,635.64 : x
  2. Step 2: Convert to fraction form
    197,791.30/296,725.14 = 64,635.64/x
  3. Step 3: Cross multiply
    197,791.30x = 296,725.14 × 64,635.64
  4. Step 4: Simplify right side
    197,791.30x = 19,179,019,327.99
  5. Step 5: Solve for x
    x = 19,179,019,327.99/197,791.30
  6. Step 6: Final answer
    x = 96,965.94

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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.