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Finding the Fourth Proportional to 106,162.38, 146,499.84 and 58,410.45

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Solution

The fourth proportional to 106,162.38, 146,499.84 and 58,410.45 is: 80,604.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,162.38 : 146,499.84 = 58,410.45 : x
  2. Step 2: Convert to fraction form
    106,162.38/146,499.84 = 58,410.45/x
  3. Step 3: Cross multiply
    106,162.38x = 146,499.84 × 58,410.45
  4. Step 4: Simplify right side
    106,162.38x = 8,557,121,579.33
  5. Step 5: Solve for x
    x = 8,557,121,579.33/106,162.38
  6. Step 6: Final answer
    x = 80,604.09

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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.