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Finding the Fourth Proportional to 198,552.80, 297,829.20 and 164,727.20

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Solution

The fourth proportional to 198,552.80, 297,829.20 and 164,727.20 is: 247,090.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,552.80 : 297,829.20 = 164,727.20 : x
  2. Step 2: Convert to fraction form
    198,552.80/297,829.20 = 164,727.20/x
  3. Step 3: Cross multiply
    198,552.80x = 297,829.20 × 164,727.20
  4. Step 4: Simplify right side
    198,552.80x = 49,060,570,194.24
  5. Step 5: Solve for x
    x = 49,060,570,194.24/198,552.80
  6. Step 6: Final answer
    x = 247,090.80

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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.