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Finding the Fourth Proportional to 196,683, 271,425.78 and 107,259

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Solution

The fourth proportional to 196,683, 271,425.78 and 107,259 is: 148,019.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,683 : 271,425.78 = 107,259 : x
  2. Step 2: Convert to fraction form
    196,683/271,425.78 = 107,259/x
  3. Step 3: Cross multiply
    196,683x = 271,425.78 × 107,259
  4. Step 4: Simplify right side
    196,683x = 29,112,857,737.02
  5. Step 5: Solve for x
    x = 29,112,857,737.02/196,683
  6. Step 6: Final answer
    x = 148,019.19

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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.