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Finding the Fourth Proportional to 209,728.44, 289,425.69 and 114,234.84

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Solution

The fourth proportional to 209,728.44, 289,425.69 and 114,234.84 is: 157,644.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,728.44 : 289,425.69 = 114,234.84 : x
  2. Step 2: Convert to fraction form
    209,728.44/289,425.69 = 114,234.84/x
  3. Step 3: Cross multiply
    209,728.44x = 289,425.69 × 114,234.84
  4. Step 4: Simplify right side
    209,728.44x = 33,062,497,389.04
  5. Step 5: Solve for x
    x = 33,062,497,389.04/209,728.44
  6. Step 6: Final answer
    x = 157,644.32

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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.