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Finding the Fourth Proportional to 196,857.84, 271,747.80 and 132,364.46

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Solution

The fourth proportional to 196,857.84, 271,747.80 and 132,364.46 is: 182,719.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,857.84 : 271,747.80 = 132,364.46 : x
  2. Step 2: Convert to fraction form
    196,857.84/271,747.80 = 132,364.46/x
  3. Step 3: Cross multiply
    196,857.84x = 271,747.80 × 132,364.46
  4. Step 4: Simplify right side
    196,857.84x = 35,969,751,017.21
  5. Step 5: Solve for x
    x = 35,969,751,017.21/196,857.84
  6. Step 6: Final answer
    x = 182,719.42

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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.