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Finding the Fourth Proportional to 273,059, 409,657.62 and 76,067

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Solution

The fourth proportional to 273,059, 409,657.62 and 76,067 is: 114,119.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,059 : 409,657.62 = 76,067 : x
  2. Step 2: Convert to fraction form
    273,059/409,657.62 = 76,067/x
  3. Step 3: Cross multiply
    273,059x = 409,657.62 × 76,067
  4. Step 4: Simplify right side
    273,059x = 31,161,426,180.54
  5. Step 5: Solve for x
    x = 31,161,426,180.54/273,059
  6. Step 6: Final answer
    x = 114,119.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.