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Finding the Fourth Proportional to 202,546.36, 279,519.62 and 111,908.17

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Solution

The fourth proportional to 202,546.36, 279,519.62 and 111,908.17 is: 154,436.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,546.36 : 279,519.62 = 111,908.17 : x
  2. Step 2: Convert to fraction form
    202,546.36/279,519.62 = 111,908.17/x
  3. Step 3: Cross multiply
    202,546.36x = 279,519.62 × 111,908.17
  4. Step 4: Simplify right side
    202,546.36x = 31,280,529,153.30
  5. Step 5: Solve for x
    x = 31,280,529,153.30/202,546.36
  6. Step 6: Final answer
    x = 154,436.39

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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.