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Finding the Fourth Proportional to 204,004.40, 305,747.40 and 98,596.40

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Solution

The fourth proportional to 204,004.40, 305,747.40 and 98,596.40 is: 147,769.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,004.40 : 305,747.40 = 98,596.40 : x
  2. Step 2: Convert to fraction form
    204,004.40/305,747.40 = 98,596.40/x
  3. Step 3: Cross multiply
    204,004.40x = 305,747.40 × 98,596.40
  4. Step 4: Simplify right side
    204,004.40x = 30,145,592,949.36
  5. Step 5: Solve for x
    x = 30,145,592,949.36/204,004.40
  6. Step 6: Final answer
    x = 147,769.33

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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.