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Finding the Fourth Proportional to 209,912.25, 289,674.60 and 114,418.11

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Solution

The fourth proportional to 209,912.25, 289,674.60 and 114,418.11 is: 157,894.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,912.25 : 289,674.60 = 114,418.11 : x
  2. Step 2: Convert to fraction form
    209,912.25/289,674.60 = 114,418.11/x
  3. Step 3: Cross multiply
    209,912.25x = 289,674.60 × 114,418.11
  4. Step 4: Simplify right side
    209,912.25x = 33,144,020,247.01
  5. Step 5: Solve for x
    x = 33,144,020,247.01/209,912.25
  6. Step 6: Final answer
    x = 157,894.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.