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Finding the Fourth Proportional to 199,824.40, 299,590.80 and 81,434.80

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Solution

The fourth proportional to 199,824.40, 299,590.80 and 81,434.80 is: 122,092.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,824.40 : 299,590.80 = 81,434.80 : x
  2. Step 2: Convert to fraction form
    199,824.40/299,590.80 = 81,434.80/x
  3. Step 3: Cross multiply
    199,824.40x = 299,590.80 × 81,434.80
  4. Step 4: Simplify right side
    199,824.40x = 24,397,116,879.84
  5. Step 5: Solve for x
    x = 24,397,116,879.84/199,824.40
  6. Step 6: Final answer
    x = 122,092.78

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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.