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Finding the Fourth Proportional to 197,492.99, 296,169.41 and 71,099.30

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Solution

The fourth proportional to 197,492.99, 296,169.41 and 71,099.30 is: 106,623.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,492.99 : 296,169.41 = 71,099.30 : x
  2. Step 2: Convert to fraction form
    197,492.99/296,169.41 = 71,099.30/x
  3. Step 3: Cross multiply
    197,492.99x = 296,169.41 × 71,099.30
  4. Step 4: Simplify right side
    197,492.99x = 21,057,436,429.31
  5. Step 5: Solve for x
    x = 21,057,436,429.31/197,492.99
  6. Step 6: Final answer
    x = 106,623.72

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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.