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Finding the Fourth Proportional to 209,687.75, 289,372.19 and 114,194.22

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Solution

The fourth proportional to 209,687.75, 289,372.19 and 114,194.22 is: 157,589.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,687.75 : 289,372.19 = 114,194.22 : x
  2. Step 2: Convert to fraction form
    209,687.75/289,372.19 = 114,194.22/x
  3. Step 3: Cross multiply
    209,687.75x = 289,372.19 × 114,194.22
  4. Step 4: Simplify right side
    209,687.75x = 33,044,629,870.63
  5. Step 5: Solve for x
    x = 33,044,629,870.63/209,687.75
  6. Step 6: Final answer
    x = 157,589.70

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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.