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Finding the Fourth Proportional to 291,961.66, 402,912.34 and 171,137.20

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Solution

The fourth proportional to 291,961.66, 402,912.34 and 171,137.20 is: 236,172.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,961.66 : 402,912.34 = 171,137.20 : x
  2. Step 2: Convert to fraction form
    291,961.66/402,912.34 = 171,137.20/x
  3. Step 3: Cross multiply
    291,961.66x = 402,912.34 × 171,137.20
  4. Step 4: Simplify right side
    291,961.66x = 68,953,289,713.05
  5. Step 5: Solve for x
    x = 68,953,289,713.05/291,961.66
  6. Step 6: Final answer
    x = 236,172.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.