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Finding the Fourth Proportional to 271,548.72, 407,343.06 and 71,867.76

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Solution

The fourth proportional to 271,548.72, 407,343.06 and 71,867.76 is: 107,806.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,548.72 : 407,343.06 = 71,867.76 : x
  2. Step 2: Convert to fraction form
    271,548.72/407,343.06 = 71,867.76/x
  3. Step 3: Cross multiply
    271,548.72x = 407,343.06 × 71,867.76
  4. Step 4: Simplify right side
    271,548.72x = 29,274,833,273.75
  5. Step 5: Solve for x
    x = 29,274,833,273.75/271,548.72
  6. Step 6: Final answer
    x = 107,806.93

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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.