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Finding the Fourth Proportional to 135,223.16, 202,833.90 and 55,244.12

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Solution

The fourth proportional to 135,223.16, 202,833.90 and 55,244.12 is: 82,865.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,223.16 : 202,833.90 = 55,244.12 : x
  2. Step 2: Convert to fraction form
    135,223.16/202,833.90 = 55,244.12/x
  3. Step 3: Cross multiply
    135,223.16x = 202,833.90 × 55,244.12
  4. Step 4: Simplify right side
    135,223.16x = 11,205,379,297.50
  5. Step 5: Solve for x
    x = 11,205,379,297.50/135,223.16
  6. Step 6: Final answer
    x = 82,865.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.