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Finding the Fourth Proportional to 209,220.84, 313,713.12 and 191,367.75

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Solution

The fourth proportional to 209,220.84, 313,713.12 and 191,367.75 is: 286,943.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,220.84 : 313,713.12 = 191,367.75 : x
  2. Step 2: Convert to fraction form
    209,220.84/313,713.12 = 191,367.75/x
  3. Step 3: Cross multiply
    209,220.84x = 313,713.12 × 191,367.75
  4. Step 4: Simplify right side
    209,220.84x = 60,034,573,919.88
  5. Step 5: Solve for x
    x = 60,034,573,919.88/209,220.84
  6. Step 6: Final answer
    x = 286,943.57

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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.