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Finding the Fourth Proportional to 105,992.73, 146,266.92 and 58,246.02

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Solution

The fourth proportional to 105,992.73, 146,266.92 and 58,246.02 is: 80,377.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,992.73 : 146,266.92 = 58,246.02 : x
  2. Step 2: Convert to fraction form
    105,992.73/146,266.92 = 58,246.02/x
  3. Step 3: Cross multiply
    105,992.73x = 146,266.92 × 58,246.02
  4. Step 4: Simplify right side
    105,992.73x = 8,519,465,947.66
  5. Step 5: Solve for x
    x = 8,519,465,947.66/105,992.73
  6. Step 6: Final answer
    x = 80,377.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.