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Finding the Fourth Proportional to 271,773.51, 407,408.76 and 103,243.29

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Solution

The fourth proportional to 271,773.51, 407,408.76 and 103,243.29 is: 154,769.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,773.51 : 407,408.76 = 103,243.29 : x
  2. Step 2: Convert to fraction form
    271,773.51/407,408.76 = 103,243.29/x
  3. Step 3: Cross multiply
    271,773.51x = 407,408.76 × 103,243.29
  4. Step 4: Simplify right side
    271,773.51x = 42,062,220,757.22
  5. Step 5: Solve for x
    x = 42,062,220,757.22/271,773.51
  6. Step 6: Final answer
    x = 154,769.39

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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.