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Finding the Fourth Proportional to 204,004.70, 305,315.85 and 204,004.70

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Solution

The fourth proportional to 204,004.70, 305,315.85 and 204,004.70 is: 305,315.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,004.70 : 305,315.85 = 204,004.70 : x
  2. Step 2: Convert to fraction form
    204,004.70/305,315.85 = 204,004.70/x
  3. Step 3: Cross multiply
    204,004.70x = 305,315.85 × 204,004.70
  4. Step 4: Simplify right side
    204,004.70x = 62,285,868,384.50
  5. Step 5: Solve for x
    x = 62,285,868,384.50/204,004.70
  6. Step 6: Final answer
    x = 305,315.85

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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.