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Finding the Fourth Proportional to 196,738, 271,498.44 and 107,314

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Solution

The fourth proportional to 196,738, 271,498.44 and 107,314 is: 148,093.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,738 : 271,498.44 = 107,314 : x
  2. Step 2: Convert to fraction form
    196,738/271,498.44 = 107,314/x
  3. Step 3: Cross multiply
    196,738x = 271,498.44 × 107,314
  4. Step 4: Simplify right side
    196,738x = 29,135,583,590.16
  5. Step 5: Solve for x
    x = 29,135,583,590.16/196,738
  6. Step 6: Final answer
    x = 148,093.32

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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.