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Finding the Fourth Proportional to 261,524.82, 391,912.97 and 148,972.62

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Solution

The fourth proportional to 261,524.82, 391,912.97 and 148,972.62 is: 223,245.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,524.82 : 391,912.97 = 148,972.62 : x
  2. Step 2: Convert to fraction form
    261,524.82/391,912.97 = 148,972.62/x
  3. Step 3: Cross multiply
    261,524.82x = 391,912.97 × 148,972.62
  4. Step 4: Simplify right side
    261,524.82x = 58,384,301,208.02
  5. Step 5: Solve for x
    x = 58,384,301,208.02/261,524.82
  6. Step 6: Final answer
    x = 223,245.74

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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.