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Finding the Fourth Proportional to 194,906.14, 268,965.03 and 110,031.10

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Solution

The fourth proportional to 194,906.14, 268,965.03 and 110,031.10 is: 151,839.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,906.14 : 268,965.03 = 110,031.10 : x
  2. Step 2: Convert to fraction form
    194,906.14/268,965.03 = 110,031.10/x
  3. Step 3: Cross multiply
    194,906.14x = 268,965.03 × 110,031.10
  4. Step 4: Simplify right side
    194,906.14x = 29,594,518,112.43
  5. Step 5: Solve for x
    x = 29,594,518,112.43/194,906.14
  6. Step 6: Final answer
    x = 151,839.85

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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.