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Finding the Fourth Proportional to 209,407.68, 288,982.38 and 113,914.14

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Solution

The fourth proportional to 209,407.68, 288,982.38 and 113,914.14 is: 157,201.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,407.68 : 288,982.38 = 113,914.14 : x
  2. Step 2: Convert to fraction form
    209,407.68/288,982.38 = 113,914.14/x
  3. Step 3: Cross multiply
    209,407.68x = 288,982.38 × 113,914.14
  4. Step 4: Simplify right side
    209,407.68x = 32,919,179,292.85
  5. Step 5: Solve for x
    x = 32,919,179,292.85/209,407.68
  6. Step 6: Final answer
    x = 157,201.39

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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.