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Finding the Fourth Proportional to 204,184, 281,773.92 and 114,760

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Solution

The fourth proportional to 204,184, 281,773.92 and 114,760 is: 158,368.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,184 : 281,773.92 = 114,760 : x
  2. Step 2: Convert to fraction form
    204,184/281,773.92 = 114,760/x
  3. Step 3: Cross multiply
    204,184x = 281,773.92 × 114,760
  4. Step 4: Simplify right side
    204,184x = 32,336,375,059.20
  5. Step 5: Solve for x
    x = 32,336,375,059.20/204,184
  6. Step 6: Final answer
    x = 158,368.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.