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Finding the Fourth Proportional to 204,328.70, 305,909.85 and 181,000.70

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Solution

The fourth proportional to 204,328.70, 305,909.85 and 181,000.70 is: 270,984.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,328.70 : 305,909.85 = 181,000.70 : x
  2. Step 2: Convert to fraction form
    204,328.70/305,909.85 = 181,000.70/x
  3. Step 3: Cross multiply
    204,328.70x = 305,909.85 × 181,000.70
  4. Step 4: Simplify right side
    204,328.70x = 55,369,896,986.90
  5. Step 5: Solve for x
    x = 55,369,896,986.90/204,328.70
  6. Step 6: Final answer
    x = 270,984.43

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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.