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Finding the Fourth Proportional to 144,872.53, 199,944.59 and 80,356.03

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Solution

The fourth proportional to 144,872.53, 199,944.59 and 80,356.03 is: 110,902.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,872.53 : 199,944.59 = 80,356.03 : x
  2. Step 2: Convert to fraction form
    144,872.53/199,944.59 = 80,356.03/x
  3. Step 3: Cross multiply
    144,872.53x = 199,944.59 × 80,356.03
  4. Step 4: Simplify right side
    144,872.53x = 16,066,752,570.74
  5. Step 5: Solve for x
    x = 16,066,752,570.74/144,872.53
  6. Step 6: Final answer
    x = 110,902.69

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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.