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Finding the Fourth Proportional to 209,692.32, 313,018.16 and 194,082.60

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Solution

The fourth proportional to 209,692.32, 313,018.16 and 194,082.60 is: 289,716.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,692.32 : 313,018.16 = 194,082.60 : x
  2. Step 2: Convert to fraction form
    209,692.32/313,018.16 = 194,082.60/x
  3. Step 3: Cross multiply
    209,692.32x = 313,018.16 × 194,082.60
  4. Step 4: Simplify right side
    209,692.32x = 60,751,378,340.02
  5. Step 5: Solve for x
    x = 60,751,378,340.02/209,692.32
  6. Step 6: Final answer
    x = 289,716.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.