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Finding the Fourth Proportional to 198,683.84, 297,993.72 and 54,556.04

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Solution

The fourth proportional to 198,683.84, 297,993.72 and 54,556.04 is: 81,825.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,683.84 : 297,993.72 = 54,556.04 : x
  2. Step 2: Convert to fraction form
    198,683.84/297,993.72 = 54,556.04/x
  3. Step 3: Cross multiply
    198,683.84x = 297,993.72 × 54,556.04
  4. Step 4: Simplify right side
    198,683.84x = 16,257,357,308.07
  5. Step 5: Solve for x
    x = 16,257,357,308.07/198,683.84
  6. Step 6: Final answer
    x = 81,825.26

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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.