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Finding the Fourth Proportional to 142,563, 196,736.94 and 82,947

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Solution

The fourth proportional to 142,563, 196,736.94 and 82,947 is: 114,466.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,563 : 196,736.94 = 82,947 : x
  2. Step 2: Convert to fraction form
    142,563/196,736.94 = 82,947/x
  3. Step 3: Cross multiply
    142,563x = 196,736.94 × 82,947
  4. Step 4: Simplify right side
    142,563x = 16,318,738,962.18
  5. Step 5: Solve for x
    x = 16,318,738,962.18/142,563
  6. Step 6: Final answer
    x = 114,466.86

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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.