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Finding the Fourth Proportional to 304,162.27, 419,746.66 and 168,205.37

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Solution

The fourth proportional to 304,162.27, 419,746.66 and 168,205.37 is: 232,124.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,162.27 : 419,746.66 = 168,205.37 : x
  2. Step 2: Convert to fraction form
    304,162.27/419,746.66 = 168,205.37/x
  3. Step 3: Cross multiply
    304,162.27x = 419,746.66 × 168,205.37
  4. Step 4: Simplify right side
    304,162.27x = 70,603,639,732.32
  5. Step 5: Solve for x
    x = 70,603,639,732.32/304,162.27
  6. Step 6: Final answer
    x = 232,124.91

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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.