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Finding the Fourth Proportional to 271,963.52, 407,720.64 and 120,052.40

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Solution

The fourth proportional to 271,963.52, 407,720.64 and 120,052.40 is: 179,979.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,963.52 : 407,720.64 = 120,052.40 : x
  2. Step 2: Convert to fraction form
    271,963.52/407,720.64 = 120,052.40/x
  3. Step 3: Cross multiply
    271,963.52x = 407,720.64 × 120,052.40
  4. Step 4: Simplify right side
    271,963.52x = 48,947,841,361.54
  5. Step 5: Solve for x
    x = 48,947,841,361.54/271,963.52
  6. Step 6: Final answer
    x = 179,979.44

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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.