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Finding the Fourth Proportional to 106,057.36, 146,358.79 and 58,310.56

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Solution

The fourth proportional to 106,057.36, 146,358.79 and 58,310.56 is: 80,468.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,057.36 : 146,358.79 = 58,310.56 : x
  2. Step 2: Convert to fraction form
    106,057.36/146,358.79 = 58,310.56/x
  3. Step 3: Cross multiply
    106,057.36x = 146,358.79 × 58,310.56
  4. Step 4: Simplify right side
    106,057.36x = 8,534,263,005.82
  5. Step 5: Solve for x
    x = 8,534,263,005.82/106,057.36
  6. Step 6: Final answer
    x = 80,468.37

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