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Finding the Fourth Proportional to 194,141.78, 267,915.12 and 109,258.86

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Solution

The fourth proportional to 194,141.78, 267,915.12 and 109,258.86 is: 150,776.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,141.78 : 267,915.12 = 109,258.86 : x
  2. Step 2: Convert to fraction form
    194,141.78/267,915.12 = 109,258.86/x
  3. Step 3: Cross multiply
    194,141.78x = 267,915.12 × 109,258.86
  4. Step 4: Simplify right side
    194,141.78x = 29,272,100,587.96
  5. Step 5: Solve for x
    x = 29,272,100,587.96/194,141.78
  6. Step 6: Final answer
    x = 150,776.92

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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.