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Finding the Fourth Proportional to 196,493.64, 271,161.38 and 107,069.64

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Solution

The fourth proportional to 196,493.64, 271,161.38 and 107,069.64 is: 147,756.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,493.64 : 271,161.38 = 107,069.64 : x
  2. Step 2: Convert to fraction form
    196,493.64/271,161.38 = 107,069.64/x
  3. Step 3: Cross multiply
    196,493.64x = 271,161.38 × 107,069.64
  4. Step 4: Simplify right side
    196,493.64x = 29,033,151,338.50
  5. Step 5: Solve for x
    x = 29,033,151,338.50/196,493.64
  6. Step 6: Final answer
    x = 147,756.19

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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.