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Finding the Fourth Proportional to 144,046.84, 198,784.32 and 80,380.84

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Solution

The fourth proportional to 144,046.84, 198,784.32 and 80,380.84 is: 110,925.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,046.84 : 198,784.32 = 80,380.84 : x
  2. Step 2: Convert to fraction form
    144,046.84/198,784.32 = 80,380.84/x
  3. Step 3: Cross multiply
    144,046.84x = 198,784.32 × 80,380.84
  4. Step 4: Simplify right side
    144,046.84x = 15,978,450,620.43
  5. Step 5: Solve for x
    x = 15,978,450,620.43/144,046.84
  6. Step 6: Final answer
    x = 110,925.38

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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.