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Finding the Fourth Proportional to 197,034, 271,906.92 and 107,610

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Solution

The fourth proportional to 197,034, 271,906.92 and 107,610 is: 148,501.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,034 : 271,906.92 = 107,610 : x
  2. Step 2: Convert to fraction form
    197,034/271,906.92 = 107,610/x
  3. Step 3: Cross multiply
    197,034x = 271,906.92 × 107,610
  4. Step 4: Simplify right side
    197,034x = 29,259,903,661.20
  5. Step 5: Solve for x
    x = 29,259,903,661.20/197,034
  6. Step 6: Final answer
    x = 148,501.80

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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.