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Finding the Fourth Proportional to 204,302.85, 281,933.68 and 113,656.86

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Solution

The fourth proportional to 204,302.85, 281,933.68 and 113,656.86 is: 156,844.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,302.85 : 281,933.68 = 113,656.86 : x
  2. Step 2: Convert to fraction form
    204,302.85/281,933.68 = 113,656.86/x
  3. Step 3: Cross multiply
    204,302.85x = 281,933.68 × 113,656.86
  4. Step 4: Simplify right side
    204,302.85x = 32,043,696,797.04
  5. Step 5: Solve for x
    x = 32,043,696,797.04/204,302.85
  6. Step 6: Final answer
    x = 156,844.10

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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.