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Finding the Fourth Proportional to 180,794, 271,191 and 56,135

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Solution

The fourth proportional to 180,794, 271,191 and 56,135 is: 84,202.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,794 : 271,191 = 56,135 : x
  2. Step 2: Convert to fraction form
    180,794/271,191 = 56,135/x
  3. Step 3: Cross multiply
    180,794x = 271,191 × 56,135
  4. Step 4: Simplify right side
    180,794x = 15,223,306,785
  5. Step 5: Solve for x
    x = 15,223,306,785/180,794
  6. Step 6: Final answer
    x = 84,202.50

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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.