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Finding the Fourth Proportional to 144,186.33, 198,952.95 and 80,524.38

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Solution

The fourth proportional to 144,186.33, 198,952.95 and 80,524.38 is: 111,110.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,186.33 : 198,952.95 = 80,524.38 : x
  2. Step 2: Convert to fraction form
    144,186.33/198,952.95 = 80,524.38/x
  3. Step 3: Cross multiply
    144,186.33x = 198,952.95 × 80,524.38
  4. Step 4: Simplify right side
    144,186.33x = 16,020,562,947.92
  5. Step 5: Solve for x
    x = 16,020,562,947.92/144,186.33
  6. Step 6: Final answer
    x = 111,110.14

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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.