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Finding the Fourth Proportional to 209,021.20, 313,402.20 and 120,230.80

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Solution

The fourth proportional to 209,021.20, 313,402.20 and 120,230.80 is: 180,271.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,021.20 : 313,402.20 = 120,230.80 : x
  2. Step 2: Convert to fraction form
    209,021.20/313,402.20 = 120,230.80/x
  3. Step 3: Cross multiply
    209,021.20x = 313,402.20 × 120,230.80
  4. Step 4: Simplify right side
    209,021.20x = 37,680,597,227.76
  5. Step 5: Solve for x
    x = 37,680,597,227.76/209,021.20
  6. Step 6: Final answer
    x = 180,271.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.