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Finding the Fourth Proportional to 194,293.38, 268,162.56 and 109,410.96

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Solution

The fourth proportional to 194,293.38, 268,162.56 and 109,410.96 is: 151,008.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,293.38 : 268,162.56 = 109,410.96 : x
  2. Step 2: Convert to fraction form
    194,293.38/268,162.56 = 109,410.96/x
  3. Step 3: Cross multiply
    194,293.38x = 268,162.56 × 109,410.96
  4. Step 4: Simplify right side
    194,293.38x = 29,339,923,125.66
  5. Step 5: Solve for x
    x = 29,339,923,125.66/194,293.38
  6. Step 6: Final answer
    x = 151,008.35

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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.