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Finding the Fourth Proportional to 20,153.90, 30,201.27 and 10,144.90

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Solution

The fourth proportional to 20,153.90, 30,201.27 and 10,144.90 is: 15,202.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,153.90 : 30,201.27 = 10,144.90 : x
  2. Step 2: Convert to fraction form
    20,153.90/30,201.27 = 10,144.90/x
  3. Step 3: Cross multiply
    20,153.90x = 30,201.27 × 10,144.90
  4. Step 4: Simplify right side
    20,153.90x = 306,388,864.02
  5. Step 5: Solve for x
    x = 306,388,864.02/20,153.90
  6. Step 6: Final answer
    x = 15,202.46

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1.5x scale

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.