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Finding the Fourth Proportional to 204,327.44, 281,969.16 and 114,903.44

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Solution

The fourth proportional to 204,327.44, 281,969.16 and 114,903.44 is: 158,565.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,327.44 : 281,969.16 = 114,903.44 : x
  2. Step 2: Convert to fraction form
    204,327.44/281,969.16 = 114,903.44/x
  3. Step 3: Cross multiply
    204,327.44x = 281,969.16 × 114,903.44
  4. Step 4: Simplify right side
    204,327.44x = 32,399,226,457.91
  5. Step 5: Solve for x
    x = 32,399,226,457.91/204,327.44
  6. Step 6: Final answer
    x = 158,565.22

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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.