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Finding the Fourth Proportional to 196,276, 270,861.24 and 106,852

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Solution

The fourth proportional to 196,276, 270,861.24 and 106,852 is: 147,455.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,276 : 270,861.24 = 106,852 : x
  2. Step 2: Convert to fraction form
    196,276/270,861.24 = 106,852/x
  3. Step 3: Cross multiply
    196,276x = 270,861.24 × 106,852
  4. Step 4: Simplify right side
    196,276x = 28,942,065,216.48
  5. Step 5: Solve for x
    x = 28,942,065,216.48/196,276
  6. Step 6: Final answer
    x = 147,455.96

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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.