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Finding the Fourth Proportional to 82,226.28, 113,464.38 and 65,271.54

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Solution

The fourth proportional to 82,226.28, 113,464.38 and 65,271.54 is: 90,068.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,226.28 : 113,464.38 = 65,271.54 : x
  2. Step 2: Convert to fraction form
    82,226.28/113,464.38 = 65,271.54/x
  3. Step 3: Cross multiply
    82,226.28x = 113,464.38 × 65,271.54
  4. Step 4: Simplify right side
    82,226.28x = 7,405,994,817.75
  5. Step 5: Solve for x
    x = 7,405,994,817.75/82,226.28
  6. Step 6: Final answer
    x = 90,068.46

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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.