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Finding the Fourth Proportional to 304,119.02, 419,676.83 and 168,149.52

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Solution

The fourth proportional to 304,119.02, 419,676.83 and 168,149.52 is: 232,042.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,119.02 : 419,676.83 = 168,149.52 : x
  2. Step 2: Convert to fraction form
    304,119.02/419,676.83 = 168,149.52/x
  3. Step 3: Cross multiply
    304,119.02x = 419,676.83 × 168,149.52
  4. Step 4: Simplify right side
    304,119.02x = 70,568,457,309.43
  5. Step 5: Solve for x
    x = 70,568,457,309.43/304,119.02
  6. Step 6: Final answer
    x = 232,042.23

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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.