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Finding the Fourth Proportional to 304,095.88, 419,649.57 and 168,133.28

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Solution

The fourth proportional to 304,095.88, 419,649.57 and 168,133.28 is: 232,022.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,095.88 : 419,649.57 = 168,133.28 : x
  2. Step 2: Convert to fraction form
    304,095.88/419,649.57 = 168,133.28/x
  3. Step 3: Cross multiply
    304,095.88x = 419,649.57 × 168,133.28
  4. Step 4: Simplify right side
    304,095.88x = 70,557,058,654.69
  5. Step 5: Solve for x
    x = 70,557,058,654.69/304,095.88
  6. Step 6: Final answer
    x = 232,022.41

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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.