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Finding the Fourth Proportional to 209,228.16, 288,736.54 and 113,734.62

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Solution

The fourth proportional to 209,228.16, 288,736.54 and 113,734.62 is: 156,954.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,228.16 : 288,736.54 = 113,734.62 : x
  2. Step 2: Convert to fraction form
    209,228.16/288,736.54 = 113,734.62/x
  3. Step 3: Cross multiply
    209,228.16x = 288,736.54 × 113,734.62
  4. Step 4: Simplify right side
    209,228.16x = 32,839,340,657.01
  5. Step 5: Solve for x
    x = 32,839,340,657.01/209,228.16
  6. Step 6: Final answer
    x = 156,954.69

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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.