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Finding the Fourth Proportional to 206,313.42, 284,450.88 and 147,447.24

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Solution

The fourth proportional to 206,313.42, 284,450.88 and 147,447.24 is: 203,290.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,313.42 : 284,450.88 = 147,447.24 : x
  2. Step 2: Convert to fraction form
    206,313.42/284,450.88 = 147,447.24/x
  3. Step 3: Cross multiply
    206,313.42x = 284,450.88 × 147,447.24
  4. Step 4: Simplify right side
    206,313.42x = 41,941,497,171.57
  5. Step 5: Solve for x
    x = 41,941,497,171.57/206,313.42
  6. Step 6: Final answer
    x = 203,290.20

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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.