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Finding the Fourth Proportional to 82,168, 123,261.72 and 26,764

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Solution

The fourth proportional to 82,168, 123,261.72 and 26,764 is: 40,149.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,168 : 123,261.72 = 26,764 : x
  2. Step 2: Convert to fraction form
    82,168/123,261.72 = 26,764/x
  3. Step 3: Cross multiply
    82,168x = 123,261.72 × 26,764
  4. Step 4: Simplify right side
    82,168x = 3,298,976,674.08
  5. Step 5: Solve for x
    x = 3,298,976,674.08/82,168
  6. Step 6: Final answer
    x = 40,149.17

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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.