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Finding the Fourth Proportional to 194,696.43, 268,802.69 and 149,287.16

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Solution

The fourth proportional to 194,696.43, 268,802.69 and 149,287.16 is: 206,109.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,696.43 : 268,802.69 = 149,287.16 : x
  2. Step 2: Convert to fraction form
    194,696.43/268,802.69 = 149,287.16/x
  3. Step 3: Cross multiply
    194,696.43x = 268,802.69 × 149,287.16
  4. Step 4: Simplify right side
    194,696.43x = 40,128,790,116.03
  5. Step 5: Solve for x
    x = 40,128,790,116.03/194,696.43
  6. Step 6: Final answer
    x = 206,109.54

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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.