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Finding the Fourth Proportional to 295,324.57, 442,993.13 and 105,797.26

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Solution

The fourth proportional to 295,324.57, 442,993.13 and 105,797.26 is: 158,698.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,324.57 : 442,993.13 = 105,797.26 : x
  2. Step 2: Convert to fraction form
    295,324.57/442,993.13 = 105,797.26/x
  3. Step 3: Cross multiply
    295,324.57x = 442,993.13 × 105,797.26
  4. Step 4: Simplify right side
    295,324.57x = 46,867,456,608.87
  5. Step 5: Solve for x
    x = 46,867,456,608.87/295,324.57
  6. Step 6: Final answer
    x = 158,698.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.