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Finding the Fourth Proportional to 271,444.53, 407,201.22 and 103,023.66

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Solution

The fourth proportional to 271,444.53, 407,201.22 and 103,023.66 is: 154,548.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,444.53 : 407,201.22 = 103,023.66 : x
  2. Step 2: Convert to fraction form
    271,444.53/407,201.22 = 103,023.66/x
  3. Step 3: Cross multiply
    271,444.53x = 407,201.22 × 103,023.66
  4. Step 4: Simplify right side
    271,444.53x = 41,951,360,040.87
  5. Step 5: Solve for x
    x = 41,951,360,040.87/271,444.53
  6. Step 6: Final answer
    x = 154,548.56

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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.