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Finding the Fourth Proportional to 196,813.98, 271,604.16 and 111,929.22

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Solution

The fourth proportional to 196,813.98, 271,604.16 and 111,929.22 is: 154,462.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,813.98 : 271,604.16 = 111,929.22 : x
  2. Step 2: Convert to fraction form
    196,813.98/271,604.16 = 111,929.22/x
  3. Step 3: Cross multiply
    196,813.98x = 271,604.16 × 111,929.22
  4. Step 4: Simplify right side
    196,813.98x = 30,400,441,777.56
  5. Step 5: Solve for x
    x = 30,400,441,777.56/196,813.98
  6. Step 6: Final answer
    x = 154,462.82

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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.