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Finding the Fourth Proportional to 193,963.68, 267,648.12 and 109,078.92

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Solution

The fourth proportional to 193,963.68, 267,648.12 and 109,078.92 is: 150,516.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,963.68 : 267,648.12 = 109,078.92 : x
  2. Step 2: Convert to fraction form
    193,963.68/267,648.12 = 109,078.92/x
  3. Step 3: Cross multiply
    193,963.68x = 267,648.12 × 109,078.92
  4. Step 4: Simplify right side
    193,963.68x = 29,194,767,869.63
  5. Step 5: Solve for x
    x = 29,194,767,869.63/193,963.68
  6. Step 6: Final answer
    x = 150,516.67

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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.