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Finding the Fourth Proportional to 304,206.78, 419,808.96 and 168,251.88

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Solution

The fourth proportional to 304,206.78, 419,808.96 and 168,251.88 is: 232,189.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,206.78 : 419,808.96 = 168,251.88 : x
  2. Step 2: Convert to fraction form
    304,206.78/419,808.96 = 168,251.88/x
  3. Step 3: Cross multiply
    304,206.78x = 419,808.96 × 168,251.88
  4. Step 4: Simplify right side
    304,206.78x = 70,633,646,760.84
  5. Step 5: Solve for x
    x = 70,633,646,760.84/304,206.78
  6. Step 6: Final answer
    x = 232,189.59

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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.