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Finding the Fourth Proportional to 209,452.05, 289,035.19 and 113,959.12

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Solution

The fourth proportional to 209,452.05, 289,035.19 and 113,959.12 is: 157,258.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,452.05 : 289,035.19 = 113,959.12 : x
  2. Step 2: Convert to fraction form
    209,452.05/289,035.19 = 113,959.12/x
  3. Step 3: Cross multiply
    209,452.05x = 289,035.19 × 113,959.12
  4. Step 4: Simplify right side
    209,452.05x = 32,938,195,616.54
  5. Step 5: Solve for x
    x = 32,938,195,616.54/209,452.05
  6. Step 6: Final answer
    x = 157,258.89

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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.