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Finding the Fourth Proportional to 198,504.47, 297,725.42 and 164,985.66

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Solution

The fourth proportional to 198,504.47, 297,725.42 and 164,985.66 is: 247,452.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,504.47 : 297,725.42 = 164,985.66 : x
  2. Step 2: Convert to fraction form
    198,504.47/297,725.42 = 164,985.66/x
  3. Step 3: Cross multiply
    198,504.47x = 297,725.42 × 164,985.66
  4. Step 4: Simplify right side
    198,504.47x = 49,120,425,329.94
  5. Step 5: Solve for x
    x = 49,120,425,329.94/198,504.47
  6. Step 6: Final answer
    x = 247,452.49

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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.