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Finding the Fourth Proportional to 209,438.93, 289,022.55 and 113,943.44

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Solution

The fourth proportional to 209,438.93, 289,022.55 and 113,943.44 is: 157,240.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,438.93 : 289,022.55 = 113,943.44 : x
  2. Step 2: Convert to fraction form
    209,438.93/289,022.55 = 113,943.44/x
  3. Step 3: Cross multiply
    209,438.93x = 289,022.55 × 113,943.44
  4. Step 4: Simplify right side
    209,438.93x = 32,932,223,879.84
  5. Step 5: Solve for x
    x = 32,932,223,879.84/209,438.93
  6. Step 6: Final answer
    x = 157,240.22

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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.