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Finding the Fourth Proportional to 209,773.50, 289,489.42 and 119,131.36

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Solution

The fourth proportional to 209,773.50, 289,489.42 and 119,131.36 is: 164,402.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,773.50 : 289,489.42 = 119,131.36 : x
  2. Step 2: Convert to fraction form
    209,773.50/289,489.42 = 119,131.36/x
  3. Step 3: Cross multiply
    209,773.50x = 289,489.42 × 119,131.36
  4. Step 4: Simplify right side
    209,773.50x = 34,487,268,310.21
  5. Step 5: Solve for x
    x = 34,487,268,310.21/209,773.50
  6. Step 6: Final answer
    x = 164,402.41

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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.