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Finding the Fourth Proportional to 192,414.14, 265,359.61 and 120,800.84

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Solution

The fourth proportional to 192,414.14, 265,359.61 and 120,800.84 is: 166,597.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,414.14 : 265,359.61 = 120,800.84 : x
  2. Step 2: Convert to fraction form
    192,414.14/265,359.61 = 120,800.84/x
  3. Step 3: Cross multiply
    192,414.14x = 265,359.61 × 120,800.84
  4. Step 4: Simplify right side
    192,414.14x = 32,055,663,790.07
  5. Step 5: Solve for x
    x = 32,055,663,790.07/192,414.14
  6. Step 6: Final answer
    x = 166,597.24

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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.