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Finding the Fourth Proportional to 196,497.48, 271,166.46 and 107,073.48

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Solution

The fourth proportional to 196,497.48, 271,166.46 and 107,073.48 is: 147,761.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,497.48 : 271,166.46 = 107,073.48 : x
  2. Step 2: Convert to fraction form
    196,497.48/271,166.46 = 107,073.48/x
  3. Step 3: Cross multiply
    196,497.48x = 271,166.46 × 107,073.48
  4. Step 4: Simplify right side
    196,497.48x = 29,034,736,531.48
  5. Step 5: Solve for x
    x = 29,034,736,531.48/196,497.48
  6. Step 6: Final answer
    x = 147,761.37

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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.