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Finding the Fourth Proportional to 206,314.67, 284,452.61 and 147,448.49

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Solution

The fourth proportional to 206,314.67, 284,452.61 and 147,448.49 is: 203,291.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,314.67 : 284,452.61 = 147,448.49 : x
  2. Step 2: Convert to fraction form
    206,314.67/284,452.61 = 147,448.49/x
  3. Step 3: Cross multiply
    206,314.67x = 284,452.61 × 147,448.49
  4. Step 4: Simplify right side
    206,314.67x = 41,942,105,661.55
  5. Step 5: Solve for x
    x = 41,942,105,661.55/206,314.67
  6. Step 6: Final answer
    x = 203,291.92

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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.