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Finding the Fourth Proportional to 209,912.46, 289,679.18 and 114,419.81

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Solution

The fourth proportional to 209,912.46, 289,679.18 and 114,419.81 is: 157,899.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,912.46 : 289,679.18 = 114,419.81 : x
  2. Step 2: Convert to fraction form
    209,912.46/289,679.18 = 114,419.81/x
  3. Step 3: Cross multiply
    209,912.46x = 289,679.18 × 114,419.81
  4. Step 4: Simplify right side
    209,912.46x = 33,145,034,716.06
  5. Step 5: Solve for x
    x = 33,145,034,716.06/209,912.46
  6. Step 6: Final answer
    x = 157,899.32

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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.