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Finding the Fourth Proportional to 183,298, 274,589.04 and 126,361.84

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Solution

The fourth proportional to 183,298, 274,589.04 and 126,361.84 is: 189,295.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,298 : 274,589.04 = 126,361.84 : x
  2. Step 2: Convert to fraction form
    183,298/274,589.04 = 126,361.84/x
  3. Step 3: Cross multiply
    183,298x = 274,589.04 × 126,361.84
  4. Step 4: Simplify right side
    183,298x = 34,697,576,338.23
  5. Step 5: Solve for x
    x = 34,697,576,338.23/183,298
  6. Step 6: Final answer
    x = 189,295.99

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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.