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Finding the Fourth Proportional to 147,311.34, 203,274.51 and 82,770.33

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Solution

The fourth proportional to 147,311.34, 203,274.51 and 82,770.33 is: 114,214.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,311.34 : 203,274.51 = 82,770.33 : x
  2. Step 2: Convert to fraction form
    147,311.34/203,274.51 = 82,770.33/x
  3. Step 3: Cross multiply
    147,311.34x = 203,274.51 × 82,770.33
  4. Step 4: Simplify right side
    147,311.34x = 16,825,096,843.06
  5. Step 5: Solve for x
    x = 16,825,096,843.06/147,311.34
  6. Step 6: Final answer
    x = 114,214.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.