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Finding the Fourth Proportional to 194,599.89, 268,638.39 and 114,016.23

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Solution

The fourth proportional to 194,599.89, 268,638.39 and 114,016.23 is: 157,395.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,599.89 : 268,638.39 = 114,016.23 : x
  2. Step 2: Convert to fraction form
    194,599.89/268,638.39 = 114,016.23/x
  3. Step 3: Cross multiply
    194,599.89x = 268,638.39 × 114,016.23
  4. Step 4: Simplify right side
    194,599.89x = 30,629,136,461.07
  5. Step 5: Solve for x
    x = 30,629,136,461.07/194,599.89
  6. Step 6: Final answer
    x = 157,395.45

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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.