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Finding the Fourth Proportional to 144,958.70, 200,044.46 and 81,295.13

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Solution

The fourth proportional to 144,958.70, 200,044.46 and 81,295.13 is: 112,188.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,958.70 : 200,044.46 = 81,295.13 : x
  2. Step 2: Convert to fraction form
    144,958.70/200,044.46 = 81,295.13/x
  3. Step 3: Cross multiply
    144,958.70x = 200,044.46 × 81,295.13
  4. Step 4: Simplify right side
    144,958.70x = 16,262,639,975.00
  5. Step 5: Solve for x
    x = 16,262,639,975.00/144,958.70
  6. Step 6: Final answer
    x = 112,188.09

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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.