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Finding the Fourth Proportional to 209,474.56, 289,085.52 and 194,713.12

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Solution

The fourth proportional to 209,474.56, 289,085.52 and 194,713.12 is: 268,713.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,474.56 : 289,085.52 = 194,713.12 : x
  2. Step 2: Convert to fraction form
    209,474.56/289,085.52 = 194,713.12/x
  3. Step 3: Cross multiply
    209,474.56x = 289,085.52 × 194,713.12
  4. Step 4: Simplify right side
    209,474.56x = 56,288,743,546.02
  5. Step 5: Solve for x
    x = 56,288,743,546.02/209,474.56
  6. Step 6: Final answer
    x = 268,713.98

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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.