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Finding the Fourth Proportional to 196,524.90, 271,161.03 and 125,010

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Solution

The fourth proportional to 196,524.90, 271,161.03 and 125,010 is: 172,486.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,524.90 : 271,161.03 = 125,010 : x
  2. Step 2: Convert to fraction form
    196,524.90/271,161.03 = 125,010/x
  3. Step 3: Cross multiply
    196,524.90x = 271,161.03 × 125,010
  4. Step 4: Simplify right side
    196,524.90x = 33,897,840,360.30
  5. Step 5: Solve for x
    x = 33,897,840,360.30/196,524.90
  6. Step 6: Final answer
    x = 172,486.24

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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.