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Finding the Fourth Proportional to 209,850.93, 289,593.33 and 114,357.60

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Solution

The fourth proportional to 209,850.93, 289,593.33 and 114,357.60 is: 157,812.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,850.93 : 289,593.33 = 114,357.60 : x
  2. Step 2: Convert to fraction form
    209,850.93/289,593.33 = 114,357.60/x
  3. Step 3: Cross multiply
    209,850.93x = 289,593.33 × 114,357.60
  4. Step 4: Simplify right side
    209,850.93x = 33,117,197,765.97
  5. Step 5: Solve for x
    x = 33,117,197,765.97/209,850.93
  6. Step 6: Final answer
    x = 157,812.97

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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.