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Finding the Fourth Proportional to 180,301.50, 270,467.58 and 47,181.60

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Solution

The fourth proportional to 180,301.50, 270,467.58 and 47,181.60 is: 70,776.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,301.50 : 270,467.58 = 47,181.60 : x
  2. Step 2: Convert to fraction form
    180,301.50/270,467.58 = 47,181.60/x
  3. Step 3: Cross multiply
    180,301.50x = 270,467.58 × 47,181.60
  4. Step 4: Simplify right side
    180,301.50x = 12,761,093,172.53
  5. Step 5: Solve for x
    x = 12,761,093,172.53/180,301.50
  6. Step 6: Final answer
    x = 70,776.41

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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.