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Finding the Fourth Proportional to 271,977.50, 408,009.96 and 114,251.06

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Solution

The fourth proportional to 271,977.50, 408,009.96 and 114,251.06 is: 171,394.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,977.50 : 408,009.96 = 114,251.06 : x
  2. Step 2: Convert to fraction form
    271,977.50/408,009.96 = 114,251.06/x
  3. Step 3: Cross multiply
    271,977.50x = 408,009.96 × 114,251.06
  4. Step 4: Simplify right side
    271,977.50x = 46,615,570,420.56
  5. Step 5: Solve for x
    x = 46,615,570,420.56/271,977.50
  6. Step 6: Final answer
    x = 171,394.95

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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.