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Finding the Fourth Proportional to 216,114.44, 323,949.96 and 82,958.84

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Solution

The fourth proportional to 216,114.44, 323,949.96 and 82,958.84 is: 124,353.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,114.44 : 323,949.96 = 82,958.84 : x
  2. Step 2: Convert to fraction form
    216,114.44/323,949.96 = 82,958.84/x
  3. Step 3: Cross multiply
    216,114.44x = 323,949.96 × 82,958.84
  4. Step 4: Simplify right side
    216,114.44x = 26,874,512,899.65
  5. Step 5: Solve for x
    x = 26,874,512,899.65/216,114.44
  6. Step 6: Final answer
    x = 124,353.16

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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.