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Finding the Fourth Proportional to 196,737, 271,497.06 and 107,313

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Solution

The fourth proportional to 196,737, 271,497.06 and 107,313 is: 148,091.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,737 : 271,497.06 = 107,313 : x
  2. Step 2: Convert to fraction form
    196,737/271,497.06 = 107,313/x
  3. Step 3: Cross multiply
    196,737x = 271,497.06 × 107,313
  4. Step 4: Simplify right side
    196,737x = 29,135,163,999.78
  5. Step 5: Solve for x
    x = 29,135,163,999.78/196,737
  6. Step 6: Final answer
    x = 148,091.94

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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.