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Finding the Fourth Proportional to 144,479.49, 199,396.68 and 83,227.80

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Solution

The fourth proportional to 144,479.49, 199,396.68 and 83,227.80 is: 114,863.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,479.49 : 199,396.68 = 83,227.80 : x
  2. Step 2: Convert to fraction form
    144,479.49/199,396.68 = 83,227.80/x
  3. Step 3: Cross multiply
    144,479.49x = 199,396.68 × 83,227.80
  4. Step 4: Simplify right side
    144,479.49x = 16,595,347,003.70
  5. Step 5: Solve for x
    x = 16,595,347,003.70/144,479.49
  6. Step 6: Final answer
    x = 114,863.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.