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Finding the Fourth Proportional to 180,766, 271,243.56 and 131,255.08

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Solution

The fourth proportional to 180,766, 271,243.56 and 131,255.08 is: 196,951.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,766 : 271,243.56 = 131,255.08 : x
  2. Step 2: Convert to fraction form
    180,766/271,243.56 = 131,255.08/x
  3. Step 3: Cross multiply
    180,766x = 271,243.56 × 131,255.08
  4. Step 4: Simplify right side
    180,766x = 35,602,095,167.28
  5. Step 5: Solve for x
    x = 35,602,095,167.28/180,766
  6. Step 6: Final answer
    x = 196,951.28

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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.