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Finding the Fourth Proportional to 209,300, 288,860.16 and 119,876

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Solution

The fourth proportional to 209,300, 288,860.16 and 119,876 is: 165,443.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,300 : 288,860.16 = 119,876 : x
  2. Step 2: Convert to fraction form
    209,300/288,860.16 = 119,876/x
  3. Step 3: Cross multiply
    209,300x = 288,860.16 × 119,876
  4. Step 4: Simplify right side
    209,300x = 34,627,400,540.16
  5. Step 5: Solve for x
    x = 34,627,400,540.16/209,300
  6. Step 6: Final answer
    x = 165,443.86

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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.