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Finding the Fourth Proportional to 100,378.44, 150,582.24 and 53,605.80

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Solution

The fourth proportional to 100,378.44, 150,582.24 and 53,605.80 is: 80,416.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,378.44 : 150,582.24 = 53,605.80 : x
  2. Step 2: Convert to fraction form
    100,378.44/150,582.24 = 53,605.80/x
  3. Step 3: Cross multiply
    100,378.44x = 150,582.24 × 53,605.80
  4. Step 4: Simplify right side
    100,378.44x = 8,072,081,440.99
  5. Step 5: Solve for x
    x = 8,072,081,440.99/100,378.44
  6. Step 6: Final answer
    x = 80,416.49

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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.