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Finding the Fourth Proportional to 161,138.20, 241,707.30 and 82,406.20

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Solution

The fourth proportional to 161,138.20, 241,707.30 and 82,406.20 is: 123,609.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,138.20 : 241,707.30 = 82,406.20 : x
  2. Step 2: Convert to fraction form
    161,138.20/241,707.30 = 82,406.20/x
  3. Step 3: Cross multiply
    161,138.20x = 241,707.30 × 82,406.20
  4. Step 4: Simplify right side
    161,138.20x = 19,918,180,105.26
  5. Step 5: Solve for x
    x = 19,918,180,105.26/161,138.20
  6. Step 6: Final answer
    x = 123,609.30

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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.