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Finding the Fourth Proportional to 276,825.89, 382,019.67 and 149,501.45

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Solution

The fourth proportional to 276,825.89, 382,019.67 and 149,501.45 is: 206,311.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,825.89 : 382,019.67 = 149,501.45 : x
  2. Step 2: Convert to fraction form
    276,825.89/382,019.67 = 149,501.45/x
  3. Step 3: Cross multiply
    276,825.89x = 382,019.67 × 149,501.45
  4. Step 4: Simplify right side
    276,825.89x = 57,112,494,593.52
  5. Step 5: Solve for x
    x = 57,112,494,593.52/276,825.89
  6. Step 6: Final answer
    x = 206,311.97

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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.