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Finding the Fourth Proportional to 271,980.36, 408,014.28 and 114,253.92

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Solution

The fourth proportional to 271,980.36, 408,014.28 and 114,253.92 is: 171,399.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,980.36 : 408,014.28 = 114,253.92 : x
  2. Step 2: Convert to fraction form
    271,980.36/408,014.28 = 114,253.92/x
  3. Step 3: Cross multiply
    271,980.36x = 408,014.28 × 114,253.92
  4. Step 4: Simplify right side
    271,980.36x = 46,617,230,905.98
  5. Step 5: Solve for x
    x = 46,617,230,905.98/271,980.36
  6. Step 6: Final answer
    x = 171,399.25

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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.