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Finding the Fourth Proportional to 209,228.70, 288,735.71 and 113,735.39

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Solution

The fourth proportional to 209,228.70, 288,735.71 and 113,735.39 is: 156,954.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,228.70 : 288,735.71 = 113,735.39 : x
  2. Step 2: Convert to fraction form
    209,228.70/288,735.71 = 113,735.39/x
  3. Step 3: Cross multiply
    209,228.70x = 288,735.71 × 113,735.39
  4. Step 4: Simplify right side
    209,228.70x = 32,839,469,155.20
  5. Step 5: Solve for x
    x = 32,839,469,155.20/209,228.70
  6. Step 6: Final answer
    x = 156,954.90

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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.