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Finding the Fourth Proportional to 194,099.84, 290,683.20 and 110,741.12

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Solution

The fourth proportional to 194,099.84, 290,683.20 and 110,741.12 is: 165,845.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,099.84 : 290,683.20 = 110,741.12 : x
  2. Step 2: Convert to fraction form
    194,099.84/290,683.20 = 110,741.12/x
  3. Step 3: Cross multiply
    194,099.84x = 290,683.20 × 110,741.12
  4. Step 4: Simplify right side
    194,099.84x = 32,190,583,133.18
  5. Step 5: Solve for x
    x = 32,190,583,133.18/194,099.84
  6. Step 6: Final answer
    x = 165,845.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.