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Finding the Fourth Proportional to 144,036.63, 198,770.49 and 80,374.82

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Solution

The fourth proportional to 144,036.63, 198,770.49 and 80,374.82 is: 110,917.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,036.63 : 198,770.49 = 80,374.82 : x
  2. Step 2: Convert to fraction form
    144,036.63/198,770.49 = 80,374.82/x
  3. Step 3: Cross multiply
    144,036.63x = 198,770.49 × 80,374.82
  4. Step 4: Simplify right side
    144,036.63x = 15,976,141,361.21
  5. Step 5: Solve for x
    x = 15,976,141,361.21/144,036.63
  6. Step 6: Final answer
    x = 110,917.21

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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.