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Finding the Fourth Proportional to 100,808.96, 151,182.63 and 34,234.29

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Solution

The fourth proportional to 100,808.96, 151,182.63 and 34,234.29 is: 51,340.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,808.96 : 151,182.63 = 34,234.29 : x
  2. Step 2: Convert to fraction form
    100,808.96/151,182.63 = 34,234.29/x
  3. Step 3: Cross multiply
    100,808.96x = 151,182.63 × 34,234.29
  4. Step 4: Simplify right side
    100,808.96x = 5,175,629,998.38
  5. Step 5: Solve for x
    x = 5,175,629,998.38/100,808.96
  6. Step 6: Final answer
    x = 51,340.97

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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.