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Finding the Fourth Proportional to 196,370.50, 270,991.29 and 106,946.50

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Solution

The fourth proportional to 196,370.50, 270,991.29 and 106,946.50 is: 147,586.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,370.50 : 270,991.29 = 106,946.50 : x
  2. Step 2: Convert to fraction form
    196,370.50/270,991.29 = 106,946.50/x
  3. Step 3: Cross multiply
    196,370.50x = 270,991.29 × 106,946.50
  4. Step 4: Simplify right side
    196,370.50x = 28,981,569,995.99
  5. Step 5: Solve for x
    x = 28,981,569,995.99/196,370.50
  6. Step 6: Final answer
    x = 147,586.17

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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.