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Finding the Fourth Proportional to 209,814.54, 289,540.44 and 114,321.96

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Solution

The fourth proportional to 209,814.54, 289,540.44 and 114,321.96 is: 157,762.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,814.54 : 289,540.44 = 114,321.96 : x
  2. Step 2: Convert to fraction form
    209,814.54/289,540.44 = 114,321.96/x
  3. Step 3: Cross multiply
    209,814.54x = 289,540.44 × 114,321.96
  4. Step 4: Simplify right side
    209,814.54x = 33,100,830,600.06
  5. Step 5: Solve for x
    x = 33,100,830,600.06/209,814.54
  6. Step 6: Final answer
    x = 157,762.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.