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Finding the Fourth Proportional to 196,633.84, 295,246.14 and 112,489

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Solution

The fourth proportional to 196,633.84, 295,246.14 and 112,489 is: 168,902.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,633.84 : 295,246.14 = 112,489 : x
  2. Step 2: Convert to fraction form
    196,633.84/295,246.14 = 112,489/x
  3. Step 3: Cross multiply
    196,633.84x = 295,246.14 × 112,489
  4. Step 4: Simplify right side
    196,633.84x = 33,211,943,042.46
  5. Step 5: Solve for x
    x = 33,211,943,042.46/196,633.84
  6. Step 6: Final answer
    x = 168,902.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.