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Finding the Fourth Proportional to 209,793.87, 289,515.58 and 114,300.57

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Solution

The fourth proportional to 209,793.87, 289,515.58 and 114,300.57 is: 157,734.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,793.87 : 289,515.58 = 114,300.57 : x
  2. Step 2: Convert to fraction form
    209,793.87/289,515.58 = 114,300.57/x
  3. Step 3: Cross multiply
    209,793.87x = 289,515.58 × 114,300.57
  4. Step 4: Simplify right side
    209,793.87x = 33,091,795,817.88
  5. Step 5: Solve for x
    x = 33,091,795,817.88/209,793.87
  6. Step 6: Final answer
    x = 157,734.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.