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Finding the Fourth Proportional to 194,794.38, 268,801.47 and 109,919.34

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Solution

The fourth proportional to 194,794.38, 268,801.47 and 109,919.34 is: 151,680.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,794.38 : 268,801.47 = 109,919.34 : x
  2. Step 2: Convert to fraction form
    194,794.38/268,801.47 = 109,919.34/x
  3. Step 3: Cross multiply
    194,794.38x = 268,801.47 × 109,919.34
  4. Step 4: Simplify right side
    194,794.38x = 29,546,480,173.43
  5. Step 5: Solve for x
    x = 29,546,480,173.43/194,794.38
  6. Step 6: Final answer
    x = 151,680.35

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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.