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Finding the Fourth Proportional to 274,732.45, 412,157.88 and 85,189.01

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Solution

The fourth proportional to 274,732.45, 412,157.88 and 85,189.01 is: 127,801.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,732.45 : 412,157.88 = 85,189.01 : x
  2. Step 2: Convert to fraction form
    274,732.45/412,157.88 = 85,189.01/x
  3. Step 3: Cross multiply
    274,732.45x = 412,157.88 × 85,189.01
  4. Step 4: Simplify right side
    274,732.45x = 35,111,321,760.90
  5. Step 5: Solve for x
    x = 35,111,321,760.90/274,732.45
  6. Step 6: Final answer
    x = 127,801.87

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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.