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Finding the Fourth Proportional to 196,993, 271,852.26 and 107,570.92

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Solution

The fourth proportional to 196,993, 271,852.26 and 107,570.92 is: 148,448.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,993 : 271,852.26 = 107,570.92 : x
  2. Step 2: Convert to fraction form
    196,993/271,852.26 = 107,570.92/x
  3. Step 3: Cross multiply
    196,993x = 271,852.26 × 107,570.92
  4. Step 4: Simplify right side
    196,993x = 29,243,397,712.28
  5. Step 5: Solve for x
    x = 29,243,397,712.28/196,993
  6. Step 6: Final answer
    x = 148,448.92

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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.