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Finding the Fourth Proportional to 196,023, 270,512.70 and 106,599

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Solution

The fourth proportional to 196,023, 270,512.70 and 106,599 is: 147,107.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,023 : 270,512.70 = 106,599 : x
  2. Step 2: Convert to fraction form
    196,023/270,512.70 = 106,599/x
  3. Step 3: Cross multiply
    196,023x = 270,512.70 × 106,599
  4. Step 4: Simplify right side
    196,023x = 28,836,383,307.30
  5. Step 5: Solve for x
    x = 28,836,383,307.30/196,023
  6. Step 6: Final answer
    x = 147,107.14

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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.