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Finding the Fourth Proportional to 304,107.45, 419,651.33 and 168,133.47

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Solution

The fourth proportional to 304,107.45, 419,651.33 and 168,133.47 is: 232,014.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,107.45 : 419,651.33 = 168,133.47 : x
  2. Step 2: Convert to fraction form
    304,107.45/419,651.33 = 168,133.47/x
  3. Step 3: Cross multiply
    304,107.45x = 419,651.33 × 168,133.47
  4. Step 4: Simplify right side
    304,107.45x = 70,557,433,462.35
  5. Step 5: Solve for x
    x = 70,557,433,462.35/304,107.45
  6. Step 6: Final answer
    x = 232,014.81

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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.