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Finding the Fourth Proportional to 234,992.61, 352,537.74 and 106,847.82

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Solution

The fourth proportional to 234,992.61, 352,537.74 and 106,847.82 is: 160,293.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,992.61 : 352,537.74 = 106,847.82 : x
  2. Step 2: Convert to fraction form
    234,992.61/352,537.74 = 106,847.82/x
  3. Step 3: Cross multiply
    234,992.61x = 352,537.74 × 106,847.82
  4. Step 4: Simplify right side
    234,992.61x = 37,667,888,986.73
  5. Step 5: Solve for x
    x = 37,667,888,986.73/234,992.61
  6. Step 6: Final answer
    x = 160,293.93

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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.