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Finding the Fourth Proportional to 209,589.12, 289,233 and 114,096.52

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Solution

The fourth proportional to 209,589.12, 289,233 and 114,096.52 is: 157,453.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,589.12 : 289,233 = 114,096.52 : x
  2. Step 2: Convert to fraction form
    209,589.12/289,233 = 114,096.52/x
  3. Step 3: Cross multiply
    209,589.12x = 289,233 × 114,096.52
  4. Step 4: Simplify right side
    209,589.12x = 33,000,478,769.16
  5. Step 5: Solve for x
    x = 33,000,478,769.16/209,589.12
  6. Step 6: Final answer
    x = 157,453.21

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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.