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Finding the Fourth Proportional to 276,426.14, 414,376.50 and 108,054.42

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Solution

The fourth proportional to 276,426.14, 414,376.50 and 108,054.42 is: 161,978.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,426.14 : 414,376.50 = 108,054.42 : x
  2. Step 2: Convert to fraction form
    276,426.14/414,376.50 = 108,054.42/x
  3. Step 3: Cross multiply
    276,426.14x = 414,376.50 × 108,054.42
  4. Step 4: Simplify right side
    276,426.14x = 44,775,212,369.13
  5. Step 5: Solve for x
    x = 44,775,212,369.13/276,426.14
  6. Step 6: Final answer
    x = 161,978.94

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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.