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Finding the Fourth Proportional to 270,634.92, 405,991.26 and 83,661

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Solution

The fourth proportional to 270,634.92, 405,991.26 and 83,661 is: 125,503.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,634.92 : 405,991.26 = 83,661 : x
  2. Step 2: Convert to fraction form
    270,634.92/405,991.26 = 83,661/x
  3. Step 3: Cross multiply
    270,634.92x = 405,991.26 × 83,661
  4. Step 4: Simplify right side
    270,634.92x = 33,965,634,802.86
  5. Step 5: Solve for x
    x = 33,965,634,802.86/270,634.92
  6. Step 6: Final answer
    x = 125,503.52

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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.