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Finding the Fourth Proportional to 192,716.80, 289,003.28 and 66,321.68

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Solution

The fourth proportional to 192,716.80, 289,003.28 and 66,321.68 is: 99,457.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,716.80 : 289,003.28 = 66,321.68 : x
  2. Step 2: Convert to fraction form
    192,716.80/289,003.28 = 66,321.68/x
  3. Step 3: Cross multiply
    192,716.80x = 289,003.28 × 66,321.68
  4. Step 4: Simplify right side
    192,716.80x = 19,167,183,055.11
  5. Step 5: Solve for x
    x = 19,167,183,055.11/192,716.80
  6. Step 6: Final answer
    x = 99,457.77

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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.