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Finding the Fourth Proportional to 191,193.96, 263,846 and 106,310.28

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Solution

The fourth proportional to 191,193.96, 263,846 and 106,310.28 is: 146,707.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,193.96 : 263,846 = 106,310.28 : x
  2. Step 2: Convert to fraction form
    191,193.96/263,846 = 106,310.28/x
  3. Step 3: Cross multiply
    191,193.96x = 263,846 × 106,310.28
  4. Step 4: Simplify right side
    191,193.96x = 28,049,542,136.88
  5. Step 5: Solve for x
    x = 28,049,542,136.88/191,193.96
  6. Step 6: Final answer
    x = 146,707.26

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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.