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Finding the Fourth Proportional to 204,235.90, 281,853.34 and 113,598.42

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Solution

The fourth proportional to 204,235.90, 281,853.34 and 113,598.42 is: 156,770.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,235.90 : 281,853.34 = 113,598.42 : x
  2. Step 2: Convert to fraction form
    204,235.90/281,853.34 = 113,598.42/x
  3. Step 3: Cross multiply
    204,235.90x = 281,853.34 × 113,598.42
  4. Step 4: Simplify right side
    204,235.90x = 32,018,092,754.78
  5. Step 5: Solve for x
    x = 32,018,092,754.78/204,235.90
  6. Step 6: Final answer
    x = 156,770.15

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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.