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Finding the Fourth Proportional to 196,225, 270,790.50 and 106,801

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Solution

The fourth proportional to 196,225, 270,790.50 and 106,801 is: 147,385.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,225 : 270,790.50 = 106,801 : x
  2. Step 2: Convert to fraction form
    196,225/270,790.50 = 106,801/x
  3. Step 3: Cross multiply
    196,225x = 270,790.50 × 106,801
  4. Step 4: Simplify right side
    196,225x = 28,920,696,190.50
  5. Step 5: Solve for x
    x = 28,920,696,190.50/196,225
  6. Step 6: Final answer
    x = 147,385.38

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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.