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Finding the Fourth Proportional to 204,185, 281,775.30 and 114,761

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Solution

The fourth proportional to 204,185, 281,775.30 and 114,761 is: 158,370.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,185 : 281,775.30 = 114,761 : x
  2. Step 2: Convert to fraction form
    204,185/281,775.30 = 114,761/x
  3. Step 3: Cross multiply
    204,185x = 281,775.30 × 114,761
  4. Step 4: Simplify right side
    204,185x = 32,336,815,203.30
  5. Step 5: Solve for x
    x = 32,336,815,203.30/204,185
  6. Step 6: Final answer
    x = 158,370.18

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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.