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Finding the Fourth Proportional to 149,270.76, 206,003.02 and 82,202.76

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Solution

The fourth proportional to 149,270.76, 206,003.02 and 82,202.76 is: 113,444.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,270.76 : 206,003.02 = 82,202.76 : x
  2. Step 2: Convert to fraction form
    149,270.76/206,003.02 = 82,202.76/x
  3. Step 3: Cross multiply
    149,270.76x = 206,003.02 × 82,202.76
  4. Step 4: Simplify right side
    149,270.76x = 16,934,016,812.34
  5. Step 5: Solve for x
    x = 16,934,016,812.34/149,270.76
  6. Step 6: Final answer
    x = 113,444.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.