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Finding the Fourth Proportional to 204,073.02, 281,619.27 and 114,649.02

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Solution

The fourth proportional to 204,073.02, 281,619.27 and 114,649.02 is: 158,214.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,073.02 : 281,619.27 = 114,649.02 : x
  2. Step 2: Convert to fraction form
    204,073.02/281,619.27 = 114,649.02/x
  3. Step 3: Cross multiply
    204,073.02x = 281,619.27 × 114,649.02
  4. Step 4: Simplify right side
    204,073.02x = 32,287,373,318.62
  5. Step 5: Solve for x
    x = 32,287,373,318.62/204,073.02
  6. Step 6: Final answer
    x = 158,214.81

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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.