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Finding the Fourth Proportional to 216,064.53, 298,074.11 and 206,059

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Solution

The fourth proportional to 216,064.53, 298,074.11 and 206,059 is: 284,270.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,064.53 : 298,074.11 = 206,059 : x
  2. Step 2: Convert to fraction form
    216,064.53/298,074.11 = 206,059/x
  3. Step 3: Cross multiply
    216,064.53x = 298,074.11 × 206,059
  4. Step 4: Simplify right side
    216,064.53x = 61,420,853,032.49
  5. Step 5: Solve for x
    x = 61,420,853,032.49/216,064.53
  6. Step 6: Final answer
    x = 284,270.88

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Why These Related Problems?

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