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Finding the Fourth Proportional to 209,948.96, 289,718.16 and 120,524.96

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Solution

The fourth proportional to 209,948.96, 289,718.16 and 120,524.96 is: 166,317.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,948.96 : 289,718.16 = 120,524.96 : x
  2. Step 2: Convert to fraction form
    209,948.96/289,718.16 = 120,524.96/x
  3. Step 3: Cross multiply
    209,948.96x = 289,718.16 × 120,524.96
  4. Step 4: Simplify right side
    209,948.96x = 34,918,269,645.27
  5. Step 5: Solve for x
    x = 34,918,269,645.27/209,948.96
  6. Step 6: Final answer
    x = 166,317.90

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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.