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Finding the Fourth Proportional to 150,195.70, 207,266.92 and 82,211.10

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Solution

The fourth proportional to 150,195.70, 207,266.92 and 82,211.10 is: 113,449.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,195.70 : 207,266.92 = 82,211.10 : x
  2. Step 2: Convert to fraction form
    150,195.70/207,266.92 = 82,211.10/x
  3. Step 3: Cross multiply
    150,195.70x = 207,266.92 × 82,211.10
  4. Step 4: Simplify right side
    150,195.70x = 17,039,641,486.81
  5. Step 5: Solve for x
    x = 17,039,641,486.81/150,195.70
  6. Step 6: Final answer
    x = 113,449.60

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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.