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Finding the Fourth Proportional to 197,951.80, 296,835.36 and 57,682.48

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Solution

The fourth proportional to 197,951.80, 296,835.36 and 57,682.48 is: 86,496.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,951.80 : 296,835.36 = 57,682.48 : x
  2. Step 2: Convert to fraction form
    197,951.80/296,835.36 = 57,682.48/x
  3. Step 3: Cross multiply
    197,951.80x = 296,835.36 × 57,682.48
  4. Step 4: Simplify right side
    197,951.80x = 17,122,199,716.49
  5. Step 5: Solve for x
    x = 17,122,199,716.49/197,951.80
  6. Step 6: Final answer
    x = 86,496.81

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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.