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Finding the Fourth Proportional to 304,144.37, 419,713.09 and 168,184.05

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Solution

The fourth proportional to 304,144.37, 419,713.09 and 168,184.05 is: 232,090.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,144.37 : 419,713.09 = 168,184.05 : x
  2. Step 2: Convert to fraction form
    304,144.37/419,713.09 = 168,184.05/x
  3. Step 3: Cross multiply
    304,144.37x = 419,713.09 × 168,184.05
  4. Step 4: Simplify right side
    304,144.37x = 70,589,046,265.87
  5. Step 5: Solve for x
    x = 70,589,046,265.87/304,144.37
  6. Step 6: Final answer
    x = 232,090.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.