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Finding the Fourth Proportional to 206,022.44, 284,304.32 and 114,137.94

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Solution

The fourth proportional to 206,022.44, 284,304.32 and 114,137.94 is: 157,506.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,022.44 : 284,304.32 = 114,137.94 : x
  2. Step 2: Convert to fraction form
    206,022.44/284,304.32 = 114,137.94/x
  3. Step 3: Cross multiply
    206,022.44x = 284,304.32 × 114,137.94
  4. Step 4: Simplify right side
    206,022.44x = 32,449,909,417.90
  5. Step 5: Solve for x
    x = 32,449,909,417.90/206,022.44
  6. Step 6: Final answer
    x = 157,506.67

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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.