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Finding the Fourth Proportional to 145,996.72, 201,469.34 and 82,340.44

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Solution

The fourth proportional to 145,996.72, 201,469.34 and 82,340.44 is: 113,626.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,996.72 : 201,469.34 = 82,340.44 : x
  2. Step 2: Convert to fraction form
    145,996.72/201,469.34 = 82,340.44/x
  3. Step 3: Cross multiply
    145,996.72x = 201,469.34 × 82,340.44
  4. Step 4: Simplify right side
    145,996.72x = 16,589,074,102.11
  5. Step 5: Solve for x
    x = 16,589,074,102.11/145,996.72
  6. Step 6: Final answer
    x = 113,626.35

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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.