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Finding the Fourth Proportional to 209,777.85, 289,636.56 and 161,294.49

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Solution

The fourth proportional to 209,777.85, 289,636.56 and 161,294.49 is: 222,696.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,777.85 : 289,636.56 = 161,294.49 : x
  2. Step 2: Convert to fraction form
    209,777.85/289,636.56 = 161,294.49/x
  3. Step 3: Cross multiply
    209,777.85x = 289,636.56 × 161,294.49
  4. Step 4: Simplify right side
    209,777.85x = 46,716,781,230.55
  5. Step 5: Solve for x
    x = 46,716,781,230.55/209,777.85
  6. Step 6: Final answer
    x = 222,696.44

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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.