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Finding the Fourth Proportional to 133,271, 199,906.53 and 34,775

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Solution

The fourth proportional to 133,271, 199,906.53 and 34,775 is: 52,162.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,271 : 199,906.53 = 34,775 : x
  2. Step 2: Convert to fraction form
    133,271/199,906.53 = 34,775/x
  3. Step 3: Cross multiply
    133,271x = 199,906.53 × 34,775
  4. Step 4: Simplify right side
    133,271x = 6,951,749,580.75
  5. Step 5: Solve for x
    x = 6,951,749,580.75/133,271
  6. Step 6: Final answer
    x = 52,162.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.