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Finding the Fourth Proportional to 269,229.56, 403,844.34 and 91,645.16

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Solution

The fourth proportional to 269,229.56, 403,844.34 and 91,645.16 is: 137,467.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,229.56 : 403,844.34 = 91,645.16 : x
  2. Step 2: Convert to fraction form
    269,229.56/403,844.34 = 91,645.16/x
  3. Step 3: Cross multiply
    269,229.56x = 403,844.34 × 91,645.16
  4. Step 4: Simplify right side
    269,229.56x = 37,010,379,154.39
  5. Step 5: Solve for x
    x = 37,010,379,154.39/269,229.56
  6. Step 6: Final answer
    x = 137,467.74

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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.