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Finding the Fourth Proportional to 269,257.50, 403,961.08 and 117,467.84

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Solution

The fourth proportional to 269,257.50, 403,961.08 and 117,467.84 is: 176,234.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,257.50 : 403,961.08 = 117,467.84 : x
  2. Step 2: Convert to fraction form
    269,257.50/403,961.08 = 117,467.84/x
  3. Step 3: Cross multiply
    269,257.50x = 403,961.08 × 117,467.84
  4. Step 4: Simplify right side
    269,257.50x = 47,452,435,511.67
  5. Step 5: Solve for x
    x = 47,452,435,511.67/269,257.50
  6. Step 6: Final answer
    x = 176,234.41

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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.