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Finding the Fourth Proportional to 206,814.80, 310,452.60 and 113,502.80

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Solution

The fourth proportional to 206,814.80, 310,452.60 and 113,502.80 is: 170,380.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,814.80 : 310,452.60 = 113,502.80 : x
  2. Step 2: Convert to fraction form
    206,814.80/310,452.60 = 113,502.80/x
  3. Step 3: Cross multiply
    206,814.80x = 310,452.60 × 113,502.80
  4. Step 4: Simplify right side
    206,814.80x = 35,237,239,367.28
  5. Step 5: Solve for x
    x = 35,237,239,367.28/206,814.80
  6. Step 6: Final answer
    x = 170,380.65

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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.