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Finding the Fourth Proportional to 180,480.54, 270,729.72 and 47,361.18

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Solution

The fourth proportional to 180,480.54, 270,729.72 and 47,361.18 is: 71,044.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,480.54 : 270,729.72 = 47,361.18 : x
  2. Step 2: Convert to fraction form
    180,480.54/270,729.72 = 47,361.18/x
  3. Step 3: Cross multiply
    180,480.54x = 270,729.72 × 47,361.18
  4. Step 4: Simplify right side
    180,480.54x = 12,822,079,000.27
  5. Step 5: Solve for x
    x = 12,822,079,000.27/180,480.54
  6. Step 6: Final answer
    x = 71,044.11

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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.