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Finding the Fourth Proportional to 196,858.92, 271,629.54 and 116,299.56

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Solution

The fourth proportional to 196,858.92, 271,629.54 and 116,299.56 is: 160,472.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,858.92 : 271,629.54 = 116,299.56 : x
  2. Step 2: Convert to fraction form
    196,858.92/271,629.54 = 116,299.56/x
  3. Step 3: Cross multiply
    196,858.92x = 271,629.54 × 116,299.56
  4. Step 4: Simplify right side
    196,858.92x = 31,590,395,985.00
  5. Step 5: Solve for x
    x = 31,590,395,985.00/196,858.92
  6. Step 6: Final answer
    x = 160,472.26

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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.