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Finding the Fourth Proportional to 144,797.49, 199,817.87 and 81,135.09

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Solution

The fourth proportional to 144,797.49, 199,817.87 and 81,135.09 is: 111,964.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,797.49 : 199,817.87 = 81,135.09 : x
  2. Step 2: Convert to fraction form
    144,797.49/199,817.87 = 81,135.09/x
  3. Step 3: Cross multiply
    144,797.49x = 199,817.87 × 81,135.09
  4. Step 4: Simplify right side
    144,797.49x = 16,212,240,460.38
  5. Step 5: Solve for x
    x = 16,212,240,460.38/144,797.49
  6. Step 6: Final answer
    x = 111,964.93

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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.