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Finding the Fourth Proportional to 196,826.28, 271,635.30 and 111,938.28

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Solution

The fourth proportional to 196,826.28, 271,635.30 and 111,938.28 is: 154,483.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,826.28 : 271,635.30 = 111,938.28 : x
  2. Step 2: Convert to fraction form
    196,826.28/271,635.30 = 111,938.28/x
  3. Step 3: Cross multiply
    196,826.28x = 271,635.30 × 111,938.28
  4. Step 4: Simplify right side
    196,826.28x = 30,406,388,269.28
  5. Step 5: Solve for x
    x = 30,406,388,269.28/196,826.28
  6. Step 6: Final answer
    x = 154,483.38

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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.