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Finding the Fourth Proportional to 144,227, 198,903.97 and 120,107.84

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Solution

The fourth proportional to 144,227, 198,903.97 and 120,107.84 is: 165,641.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,227 : 198,903.97 = 120,107.84 : x
  2. Step 2: Convert to fraction form
    144,227/198,903.97 = 120,107.84/x
  3. Step 3: Cross multiply
    144,227x = 198,903.97 × 120,107.84
  4. Step 4: Simplify right side
    144,227x = 23,889,926,204.12
  5. Step 5: Solve for x
    x = 23,889,926,204.12/144,227
  6. Step 6: Final answer
    x = 165,641.15

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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.