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Finding the Fourth Proportional to 193,146.84, 289,648.96 and 66,754.84

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Solution

The fourth proportional to 193,146.84, 289,648.96 and 66,754.84 is: 100,107.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,146.84 : 289,648.96 = 66,754.84 : x
  2. Step 2: Convert to fraction form
    193,146.84/289,648.96 = 66,754.84/x
  3. Step 3: Cross multiply
    193,146.84x = 289,648.96 × 66,754.84
  4. Step 4: Simplify right side
    193,146.84x = 19,335,469,980.97
  5. Step 5: Solve for x
    x = 19,335,469,980.97/193,146.84
  6. Step 6: Final answer
    x = 100,107.62

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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.