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Finding the Fourth Proportional to 197,858.74, 296,871.11 and 85,481.11

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Solution

The fourth proportional to 197,858.74, 296,871.11 and 85,481.11 is: 128,257.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,858.74 : 296,871.11 = 85,481.11 : x
  2. Step 2: Convert to fraction form
    197,858.74/296,871.11 = 85,481.11/x
  3. Step 3: Cross multiply
    197,858.74x = 296,871.11 × 85,481.11
  4. Step 4: Simplify right side
    197,858.74x = 25,376,872,009.73
  5. Step 5: Solve for x
    x = 25,376,872,009.73/197,858.74
  6. Step 6: Final answer
    x = 128,257.52

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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.