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Finding the Fourth Proportional to 263,039.32, 363,016.38 and 161,064.28

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Solution

The fourth proportional to 263,039.32, 363,016.38 and 161,064.28 is: 222,282.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,039.32 : 363,016.38 = 161,064.28 : x
  2. Step 2: Convert to fraction form
    263,039.32/363,016.38 = 161,064.28/x
  3. Step 3: Cross multiply
    263,039.32x = 363,016.38 × 161,064.28
  4. Step 4: Simplify right side
    263,039.32x = 58,468,971,872.91
  5. Step 5: Solve for x
    x = 58,468,971,872.91/263,039.32
  6. Step 6: Final answer
    x = 222,282.25

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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.