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Finding the Fourth Proportional to 209,218.76, 313,830.33 and 82,889.75

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Solution

The fourth proportional to 209,218.76, 313,830.33 and 82,889.75 is: 124,335.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,218.76 : 313,830.33 = 82,889.75 : x
  2. Step 2: Convert to fraction form
    209,218.76/313,830.33 = 82,889.75/x
  3. Step 3: Cross multiply
    209,218.76x = 313,830.33 × 82,889.75
  4. Step 4: Simplify right side
    209,218.76x = 26,013,317,596.12
  5. Step 5: Solve for x
    x = 26,013,317,596.12/209,218.76
  6. Step 6: Final answer
    x = 124,335.49

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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.