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Finding the Fourth Proportional to 106,318.76, 146,719.92 and 58,571.96

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Solution

The fourth proportional to 106,318.76, 146,719.92 and 58,571.96 is: 80,829.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,318.76 : 146,719.92 = 58,571.96 : x
  2. Step 2: Convert to fraction form
    106,318.76/146,719.92 = 58,571.96/x
  3. Step 3: Cross multiply
    106,318.76x = 146,719.92 × 58,571.96
  4. Step 4: Simplify right side
    106,318.76x = 8,593,673,285.44
  5. Step 5: Solve for x
    x = 8,593,673,285.44/106,318.76
  6. Step 6: Final answer
    x = 80,829.32

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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.