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Finding the Fourth Proportional to 230,633, 318,108.42 and 149,909.96

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Solution

The fourth proportional to 230,633, 318,108.42 and 149,909.96 is: 206,768.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,633 : 318,108.42 = 149,909.96 : x
  2. Step 2: Convert to fraction form
    230,633/318,108.42 = 149,909.96/x
  3. Step 3: Cross multiply
    230,633x = 318,108.42 × 149,909.96
  4. Step 4: Simplify right side
    230,633x = 47,687,620,517.86
  5. Step 5: Solve for x
    x = 47,687,620,517.86/230,633
  6. Step 6: Final answer
    x = 206,768.42

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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.