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Finding the Fourth Proportional to 192,809.40, 289,559.70 and 140,278.20

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Solution

The fourth proportional to 192,809.40, 289,559.70 and 140,278.20 is: 210,668.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,809.40 : 289,559.70 = 140,278.20 : x
  2. Step 2: Convert to fraction form
    192,809.40/289,559.70 = 140,278.20/x
  3. Step 3: Cross multiply
    192,809.40x = 289,559.70 × 140,278.20
  4. Step 4: Simplify right side
    192,809.40x = 40,618,913,508.54
  5. Step 5: Solve for x
    x = 40,618,913,508.54/192,809.40
  6. Step 6: Final answer
    x = 210,668.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.