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Finding the Fourth Proportional to 200,524.70, 300,824.98 and 80,590.97

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Solution

The fourth proportional to 200,524.70, 300,824.98 and 80,590.97 is: 120,901.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,524.70 : 300,824.98 = 80,590.97 : x
  2. Step 2: Convert to fraction form
    200,524.70/300,824.98 = 80,590.97/x
  3. Step 3: Cross multiply
    200,524.70x = 300,824.98 × 80,590.97
  4. Step 4: Simplify right side
    200,524.70x = 24,243,776,938.43
  5. Step 5: Solve for x
    x = 24,243,776,938.43/200,524.70
  6. Step 6: Final answer
    x = 120,901.70

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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.