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Finding the Fourth Proportional to 144,496.70, 199,405.14 and 80,834.49

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Solution

The fourth proportional to 144,496.70, 199,405.14 and 80,834.49 is: 111,551.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,496.70 : 199,405.14 = 80,834.49 : x
  2. Step 2: Convert to fraction form
    144,496.70/199,405.14 = 80,834.49/x
  3. Step 3: Cross multiply
    144,496.70x = 199,405.14 × 80,834.49
  4. Step 4: Simplify right side
    144,496.70x = 16,118,812,795.28
  5. Step 5: Solve for x
    x = 16,118,812,795.28/144,496.70
  6. Step 6: Final answer
    x = 111,551.43

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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.