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Finding the Fourth Proportional to 196,473.94, 271,134.03 and 107,049.94

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Solution

The fourth proportional to 196,473.94, 271,134.03 and 107,049.94 is: 147,728.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,473.94 : 271,134.03 = 107,049.94 : x
  2. Step 2: Convert to fraction form
    196,473.94/271,134.03 = 107,049.94/x
  3. Step 3: Cross multiply
    196,473.94x = 271,134.03 × 107,049.94
  4. Step 4: Simplify right side
    196,473.94x = 29,024,881,367.06
  5. Step 5: Solve for x
    x = 29,024,881,367.06/196,473.94
  6. Step 6: Final answer
    x = 147,728.91

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Why These Related Problems?

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