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Finding the Fourth Proportional to 106,216.79, 146,579.15 and 58,469.78

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Solution

The fourth proportional to 106,216.79, 146,579.15 and 58,469.78 is: 80,688.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,216.79 : 146,579.15 = 58,469.78 : x
  2. Step 2: Convert to fraction form
    106,216.79/146,579.15 = 58,469.78/x
  3. Step 3: Cross multiply
    106,216.79x = 146,579.15 × 58,469.78
  4. Step 4: Simplify right side
    106,216.79x = 8,570,451,165.71
  5. Step 5: Solve for x
    x = 8,570,451,165.71/106,216.79
  6. Step 6: Final answer
    x = 80,688.29

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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.