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Finding the Fourth Proportional to 200,604.40, 300,712.20 and 82,117.60

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Solution

The fourth proportional to 200,604.40, 300,712.20 and 82,117.60 is: 123,096.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,604.40 : 300,712.20 = 82,117.60 : x
  2. Step 2: Convert to fraction form
    200,604.40/300,712.20 = 82,117.60/x
  3. Step 3: Cross multiply
    200,604.40x = 300,712.20 × 82,117.60
  4. Step 4: Simplify right side
    200,604.40x = 24,693,764,154.72
  5. Step 5: Solve for x
    x = 24,693,764,154.72/200,604.40
  6. Step 6: Final answer
    x = 123,096.82

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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.