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Finding the Fourth Proportional to 261,198.30, 391,945.08 and 111,424.44

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Solution

The fourth proportional to 261,198.30, 391,945.08 and 111,424.44 is: 167,199.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,198.30 : 391,945.08 = 111,424.44 : x
  2. Step 2: Convert to fraction form
    261,198.30/391,945.08 = 111,424.44/x
  3. Step 3: Cross multiply
    261,198.30x = 391,945.08 × 111,424.44
  4. Step 4: Simplify right side
    261,198.30x = 43,672,261,049.76
  5. Step 5: Solve for x
    x = 43,672,261,049.76/261,198.30
  6. Step 6: Final answer
    x = 167,199.64

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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.