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Finding the Fourth Proportional to 196,762.44, 271,524.12 and 116,216.04

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Solution

The fourth proportional to 196,762.44, 271,524.12 and 116,216.04 is: 160,373.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,762.44 : 271,524.12 = 116,216.04 : x
  2. Step 2: Convert to fraction form
    196,762.44/271,524.12 = 116,216.04/x
  3. Step 3: Cross multiply
    196,762.44x = 271,524.12 × 116,216.04
  4. Step 4: Simplify right side
    196,762.44x = 31,555,457,990.88
  5. Step 5: Solve for x
    x = 31,555,457,990.88/196,762.44
  6. Step 6: Final answer
    x = 160,373.38

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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.