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Finding the Fourth Proportional to 304,107.92, 419,661.54 and 168,138.36

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Solution

The fourth proportional to 304,107.92, 419,661.54 and 168,138.36 is: 232,026.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,107.92 : 419,661.54 = 168,138.36 : x
  2. Step 2: Convert to fraction form
    304,107.92/419,661.54 = 168,138.36/x
  3. Step 3: Cross multiply
    304,107.92x = 419,661.54 × 168,138.36
  4. Step 4: Simplify right side
    304,107.92x = 70,561,203,090.67
  5. Step 5: Solve for x
    x = 70,561,203,090.67/304,107.92
  6. Step 6: Final answer
    x = 232,026.85

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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.