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Finding the Fourth Proportional to 202,496.49, 279,460.44 and 116,481.78

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Solution

The fourth proportional to 202,496.49, 279,460.44 and 116,481.78 is: 160,753.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,496.49 : 279,460.44 = 116,481.78 : x
  2. Step 2: Convert to fraction form
    202,496.49/279,460.44 = 116,481.78/x
  3. Step 3: Cross multiply
    202,496.49x = 279,460.44 × 116,481.78
  4. Step 4: Simplify right side
    202,496.49x = 32,552,049,490.78
  5. Step 5: Solve for x
    x = 32,552,049,490.78/202,496.49
  6. Step 6: Final answer
    x = 160,753.65

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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.