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Finding the Fourth Proportional to 128,022.80, 192,034.20 and 107,286.80

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Solution

The fourth proportional to 128,022.80, 192,034.20 and 107,286.80 is: 160,930.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,022.80 : 192,034.20 = 107,286.80 : x
  2. Step 2: Convert to fraction form
    128,022.80/192,034.20 = 107,286.80/x
  3. Step 3: Cross multiply
    128,022.80x = 192,034.20 × 107,286.80
  4. Step 4: Simplify right side
    128,022.80x = 20,602,734,808.56
  5. Step 5: Solve for x
    x = 20,602,734,808.56/128,022.80
  6. Step 6: Final answer
    x = 160,930.20

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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.