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Finding the Fourth Proportional to 209,793.22, 289,504.58 and 119,137.21

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Solution

The fourth proportional to 209,793.22, 289,504.58 and 119,137.21 is: 164,403.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,793.22 : 289,504.58 = 119,137.21 : x
  2. Step 2: Convert to fraction form
    209,793.22/289,504.58 = 119,137.21/x
  3. Step 3: Cross multiply
    209,793.22x = 289,504.58 × 119,137.21
  4. Step 4: Simplify right side
    209,793.22x = 34,490,768,433.38
  5. Step 5: Solve for x
    x = 34,490,768,433.38/209,793.22
  6. Step 6: Final answer
    x = 164,403.63

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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.