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Finding the Fourth Proportional to 144,650.44, 199,629.65 and 84,217.47

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Solution

The fourth proportional to 144,650.44, 199,629.65 and 84,217.47 is: 116,227.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,650.44 : 199,629.65 = 84,217.47 : x
  2. Step 2: Convert to fraction form
    144,650.44/199,629.65 = 84,217.47/x
  3. Step 3: Cross multiply
    144,650.44x = 199,629.65 × 84,217.47
  4. Step 4: Simplify right side
    144,650.44x = 16,812,304,171.11
  5. Step 5: Solve for x
    x = 16,812,304,171.11/144,650.44
  6. Step 6: Final answer
    x = 116,227.12

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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.