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Finding the Fourth Proportional to 209,791.87, 289,512.82 and 114,298.57

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Solution

The fourth proportional to 209,791.87, 289,512.82 and 114,298.57 is: 157,732.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,791.87 : 289,512.82 = 114,298.57 : x
  2. Step 2: Convert to fraction form
    209,791.87/289,512.82 = 114,298.57/x
  3. Step 3: Cross multiply
    209,791.87x = 289,512.82 × 114,298.57
  4. Step 4: Simplify right side
    209,791.87x = 33,090,900,027.39
  5. Step 5: Solve for x
    x = 33,090,900,027.39/209,791.87
  6. Step 6: Final answer
    x = 157,732.04

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1.5x scale

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.