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Finding the Fourth Proportional to 271,960.64, 407,745.56 and 127,785.16

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Solution

The fourth proportional to 271,960.64, 407,745.56 and 127,785.16 is: 191,585.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,960.64 : 407,745.56 = 127,785.16 : x
  2. Step 2: Convert to fraction form
    271,960.64/407,745.56 = 127,785.16/x
  3. Step 3: Cross multiply
    271,960.64x = 407,745.56 × 127,785.16
  4. Step 4: Simplify right side
    271,960.64x = 52,103,831,734.24
  5. Step 5: Solve for x
    x = 52,103,831,734.24/271,960.64
  6. Step 6: Final answer
    x = 191,585.93

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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.