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Finding the Fourth Proportional to 304,153.83, 419,723.97 and 168,183.27

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Solution

The fourth proportional to 304,153.83, 419,723.97 and 168,183.27 is: 232,088.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,153.83 : 419,723.97 = 168,183.27 : x
  2. Step 2: Convert to fraction form
    304,153.83/419,723.97 = 168,183.27/x
  3. Step 3: Cross multiply
    304,153.83x = 419,723.97 × 168,183.27
  4. Step 4: Simplify right side
    304,153.83x = 70,590,549,771.98
  5. Step 5: Solve for x
    x = 70,590,549,771.98/304,153.83
  6. Step 6: Final answer
    x = 232,088.31

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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.