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Finding the Fourth Proportional to 196,371, 270,991.98 and 106,947

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Solution

The fourth proportional to 196,371, 270,991.98 and 106,947 is: 147,586.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,371 : 270,991.98 = 106,947 : x
  2. Step 2: Convert to fraction form
    196,371/270,991.98 = 106,947/x
  3. Step 3: Cross multiply
    196,371x = 270,991.98 × 106,947
  4. Step 4: Simplify right side
    196,371x = 28,981,779,285.06
  5. Step 5: Solve for x
    x = 28,981,779,285.06/196,371
  6. Step 6: Final answer
    x = 147,586.86

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1.5x scale

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.