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Finding the Fourth Proportional to 144,182.93, 198,972.87 and 80,523.14

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Solution

The fourth proportional to 144,182.93, 198,972.87 and 80,523.14 is: 111,122.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,182.93 : 198,972.87 = 80,523.14 : x
  2. Step 2: Convert to fraction form
    144,182.93/198,972.87 = 80,523.14/x
  3. Step 3: Cross multiply
    144,182.93x = 198,972.87 × 80,523.14
  4. Step 4: Simplify right side
    144,182.93x = 16,021,920,267.21
  5. Step 5: Solve for x
    x = 16,021,920,267.21/144,182.93
  6. Step 6: Final answer
    x = 111,122.17

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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.