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Finding the Fourth Proportional to 180,803.14, 271,255.48 and 66,949.22

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Solution

The fourth proportional to 180,803.14, 271,255.48 and 66,949.22 is: 100,442.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,803.14 : 271,255.48 = 66,949.22 : x
  2. Step 2: Convert to fraction form
    180,803.14/271,255.48 = 66,949.22/x
  3. Step 3: Cross multiply
    180,803.14x = 271,255.48 × 66,949.22
  4. Step 4: Simplify right side
    180,803.14x = 18,160,343,317.49
  5. Step 5: Solve for x
    x = 18,160,343,317.49/180,803.14
  6. Step 6: Final answer
    x = 100,442.63

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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.