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Finding the Fourth Proportional to 204,015.80, 306,023.70 and 189,270.20

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Solution

The fourth proportional to 204,015.80, 306,023.70 and 189,270.20 is: 283,905.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,015.80 : 306,023.70 = 189,270.20 : x
  2. Step 2: Convert to fraction form
    204,015.80/306,023.70 = 189,270.20/x
  3. Step 3: Cross multiply
    204,015.80x = 306,023.70 × 189,270.20
  4. Step 4: Simplify right side
    204,015.80x = 57,921,166,903.74
  5. Step 5: Solve for x
    x = 57,921,166,903.74/204,015.80
  6. Step 6: Final answer
    x = 283,905.30

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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.