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Finding the Fourth Proportional to 106,078, 146,387.67 and 58,334.62

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Solution

The fourth proportional to 106,078, 146,387.67 and 58,334.62 is: 80,501.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,078 : 146,387.67 = 58,334.62 : x
  2. Step 2: Convert to fraction form
    106,078/146,387.67 = 58,334.62/x
  3. Step 3: Cross multiply
    106,078x = 146,387.67 × 58,334.62
  4. Step 4: Simplify right side
    106,078x = 8,539,469,102.14
  5. Step 5: Solve for x
    x = 8,539,469,102.14/106,078
  6. Step 6: Final answer
    x = 80,501.79

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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.