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Finding the Fourth Proportional to 409,074.95, 613,640.39 and 139,093.18

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Solution

The fourth proportional to 409,074.95, 613,640.39 and 139,093.18 is: 208,649.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,074.95 : 613,640.39 = 139,093.18 : x
  2. Step 2: Convert to fraction form
    409,074.95/613,640.39 = 139,093.18/x
  3. Step 3: Cross multiply
    409,074.95x = 613,640.39 × 139,093.18
  4. Step 4: Simplify right side
    409,074.95x = 85,353,190,991.97
  5. Step 5: Solve for x
    x = 85,353,190,991.97/409,074.95
  6. Step 6: Final answer
    x = 208,649.27

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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.