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Finding the Fourth Proportional to 105,992.75, 146,264.59 and 58,236.87

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Solution

The fourth proportional to 105,992.75, 146,264.59 and 58,236.87 is: 80,363.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,992.75 : 146,264.59 = 58,236.87 : x
  2. Step 2: Convert to fraction form
    105,992.75/146,264.59 = 58,236.87/x
  3. Step 3: Cross multiply
    105,992.75x = 146,264.59 × 58,236.87
  4. Step 4: Simplify right side
    105,992.75x = 8,517,992,207.14
  5. Step 5: Solve for x
    x = 8,517,992,207.14/105,992.75
  6. Step 6: Final answer
    x = 80,363.91

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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.