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Finding the Fourth Proportional to 144,884.38, 199,940.31 and 81,222.18

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Solution

The fourth proportional to 144,884.38, 199,940.31 and 81,222.18 is: 112,086.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,884.38 : 199,940.31 = 81,222.18 : x
  2. Step 2: Convert to fraction form
    144,884.38/199,940.31 = 81,222.18/x
  3. Step 3: Cross multiply
    144,884.38x = 199,940.31 × 81,222.18
  4. Step 4: Simplify right side
    144,884.38x = 16,239,587,848.08
  5. Step 5: Solve for x
    x = 16,239,587,848.08/144,884.38
  6. Step 6: Final answer
    x = 112,086.53

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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.