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Finding the Fourth Proportional to 304,162.83, 419,747.42 and 168,205.93

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Solution

The fourth proportional to 304,162.83, 419,747.42 and 168,205.93 is: 232,125.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,162.83 : 419,747.42 = 168,205.93 : x
  2. Step 2: Convert to fraction form
    304,162.83/419,747.42 = 168,205.93/x
  3. Step 3: Cross multiply
    304,162.83x = 419,747.42 × 168,205.93
  4. Step 4: Simplify right side
    304,162.83x = 70,604,004,517.35
  5. Step 5: Solve for x
    x = 70,604,004,517.35/304,162.83
  6. Step 6: Final answer
    x = 232,125.68

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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.