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Finding the Fourth Proportional to 304,177.73, 419,757.32 and 168,207.89

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Solution

The fourth proportional to 304,177.73, 419,757.32 and 168,207.89 is: 232,122.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,177.73 : 419,757.32 = 168,207.89 : x
  2. Step 2: Convert to fraction form
    304,177.73/419,757.32 = 168,207.89/x
  3. Step 3: Cross multiply
    304,177.73x = 419,757.32 × 168,207.89
  4. Step 4: Simplify right side
    304,177.73x = 70,606,491,430.99
  5. Step 5: Solve for x
    x = 70,606,491,430.99/304,177.73
  6. Step 6: Final answer
    x = 232,122.49

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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.