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Finding the Fourth Proportional to 196,893, 271,712.34 and 107,469

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Solution

The fourth proportional to 196,893, 271,712.34 and 107,469 is: 148,307.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,893 : 271,712.34 = 107,469 : x
  2. Step 2: Convert to fraction form
    196,893/271,712.34 = 107,469/x
  3. Step 3: Cross multiply
    196,893x = 271,712.34 × 107,469
  4. Step 4: Simplify right side
    196,893x = 29,200,653,467.46
  5. Step 5: Solve for x
    x = 29,200,653,467.46/196,893
  6. Step 6: Final answer
    x = 148,307.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.