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Finding the Fourth Proportional to 213,340.95, 320,023.71 and 80,222.36

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Solution

The fourth proportional to 213,340.95, 320,023.71 and 80,222.36 is: 120,338.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,340.95 : 320,023.71 = 80,222.36 : x
  2. Step 2: Convert to fraction form
    213,340.95/320,023.71 = 80,222.36/x
  3. Step 3: Cross multiply
    213,340.95x = 320,023.71 × 80,222.36
  4. Step 4: Simplify right side
    213,340.95x = 25,673,055,672.04
  5. Step 5: Solve for x
    x = 25,673,055,672.04/213,340.95
  6. Step 6: Final answer
    x = 120,338.15

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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.