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Finding the Fourth Proportional to 203,421.42, 280,730.79 and 116,214.21

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Solution

The fourth proportional to 203,421.42, 280,730.79 and 116,214.21 is: 160,380.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,421.42 : 280,730.79 = 116,214.21 : x
  2. Step 2: Convert to fraction form
    203,421.42/280,730.79 = 116,214.21/x
  3. Step 3: Cross multiply
    203,421.42x = 280,730.79 × 116,214.21
  4. Step 4: Simplify right side
    203,421.42x = 32,624,906,982.53
  5. Step 5: Solve for x
    x = 32,624,906,982.53/203,421.42
  6. Step 6: Final answer
    x = 160,380.88

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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.