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Finding the Fourth Proportional to 270,552.24, 405,879.39 and 83,520

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Solution

The fourth proportional to 270,552.24, 405,879.39 and 83,520 is: 125,295.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,552.24 : 405,879.39 = 83,520 : x
  2. Step 2: Convert to fraction form
    270,552.24/405,879.39 = 83,520/x
  3. Step 3: Cross multiply
    270,552.24x = 405,879.39 × 83,520
  4. Step 4: Simplify right side
    270,552.24x = 33,899,046,652.80
  5. Step 5: Solve for x
    x = 33,899,046,652.80/270,552.24
  6. Step 6: Final answer
    x = 125,295.75

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