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Finding the Fourth Proportional to 209,210.45, 313,809.90 and 76,093.22

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Solution

The fourth proportional to 209,210.45, 313,809.90 and 76,093.22 is: 114,137.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,210.45 : 313,809.90 = 76,093.22 : x
  2. Step 2: Convert to fraction form
    209,210.45/313,809.90 = 76,093.22/x
  3. Step 3: Cross multiply
    209,210.45x = 313,809.90 × 76,093.22
  4. Step 4: Simplify right side
    209,210.45x = 23,878,806,258.05
  5. Step 5: Solve for x
    x = 23,878,806,258.05/209,210.45
  6. Step 6: Final answer
    x = 114,137.73

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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.