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Finding the Fourth Proportional to 185,200.56, 277,914.24 and 80,017.20

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Solution

The fourth proportional to 185,200.56, 277,914.24 and 80,017.20 is: 120,074.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,200.56 : 277,914.24 = 80,017.20 : x
  2. Step 2: Convert to fraction form
    185,200.56/277,914.24 = 80,017.20/x
  3. Step 3: Cross multiply
    185,200.56x = 277,914.24 × 80,017.20
  4. Step 4: Simplify right side
    185,200.56x = 22,237,919,324.93
  5. Step 5: Solve for x
    x = 22,237,919,324.93/185,200.56
  6. Step 6: Final answer
    x = 120,074.80

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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.