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Finding the Fourth Proportional to 209,713.70, 289,408.26 and 114,220.39

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Solution

The fourth proportional to 209,713.70, 289,408.26 and 114,220.39 is: 157,625.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,713.70 : 289,408.26 = 114,220.39 : x
  2. Step 2: Convert to fraction form
    209,713.70/289,408.26 = 114,220.39/x
  3. Step 3: Cross multiply
    209,713.70x = 289,408.26 × 114,220.39
  4. Step 4: Simplify right side
    209,713.70x = 33,056,324,326.42
  5. Step 5: Solve for x
    x = 33,056,324,326.42/209,713.70
  6. Step 6: Final answer
    x = 157,625.96

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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.