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Finding the Fourth Proportional to 206,150.40, 309,193.20 and 73,011.60

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Solution

The fourth proportional to 206,150.40, 309,193.20 and 73,011.60 is: 109,505.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,150.40 : 309,193.20 = 73,011.60 : x
  2. Step 2: Convert to fraction form
    206,150.40/309,193.20 = 73,011.60/x
  3. Step 3: Cross multiply
    206,150.40x = 309,193.20 × 73,011.60
  4. Step 4: Simplify right side
    206,150.40x = 22,574,690,241.12
  5. Step 5: Solve for x
    x = 22,574,690,241.12/206,150.40
  6. Step 6: Final answer
    x = 109,505.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.