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Finding the Fourth Proportional to 146,416.38, 219,628.17 and 41,234.64

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Solution

The fourth proportional to 146,416.38, 219,628.17 and 41,234.64 is: 61,852.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,416.38 : 219,628.17 = 41,234.64 : x
  2. Step 2: Convert to fraction form
    146,416.38/219,628.17 = 41,234.64/x
  3. Step 3: Cross multiply
    146,416.38x = 219,628.17 × 41,234.64
  4. Step 4: Simplify right side
    146,416.38x = 9,056,288,523.81
  5. Step 5: Solve for x
    x = 9,056,288,523.81/146,416.38
  6. Step 6: Final answer
    x = 61,852.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.