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Finding the Fourth Proportional to 146,008.44, 219,049.74 and 40,827.96

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Solution

The fourth proportional to 146,008.44, 219,049.74 and 40,827.96 is: 61,252.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,008.44 : 219,049.74 = 40,827.96 : x
  2. Step 2: Convert to fraction form
    146,008.44/219,049.74 = 40,827.96/x
  3. Step 3: Cross multiply
    146,008.44x = 219,049.74 × 40,827.96
  4. Step 4: Simplify right side
    146,008.44x = 8,943,354,022.73
  5. Step 5: Solve for x
    x = 8,943,354,022.73/146,008.44
  6. Step 6: Final answer
    x = 61,252.31

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Why These Related Problems?

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