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Finding the Fourth Proportional to 275,105.44, 412,720.08 and 97,612.12

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Solution

The fourth proportional to 275,105.44, 412,720.08 and 97,612.12 is: 146,440.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,105.44 : 412,720.08 = 97,612.12 : x
  2. Step 2: Convert to fraction form
    275,105.44/412,720.08 = 97,612.12/x
  3. Step 3: Cross multiply
    275,105.44x = 412,720.08 × 97,612.12
  4. Step 4: Simplify right side
    275,105.44x = 40,286,481,975.37
  5. Step 5: Solve for x
    x = 40,286,481,975.37/275,105.44
  6. Step 6: Final answer
    x = 146,440.15

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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.