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Finding the Fourth Proportional to 194,578.52, 268,517.84 and 105,154.52

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Solution

The fourth proportional to 194,578.52, 268,517.84 and 105,154.52 is: 145,112.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,578.52 : 268,517.84 = 105,154.52 : x
  2. Step 2: Convert to fraction form
    194,578.52/268,517.84 = 105,154.52/x
  3. Step 3: Cross multiply
    194,578.52x = 268,517.84 × 105,154.52
  4. Step 4: Simplify right side
    194,578.52x = 28,235,864,576.64
  5. Step 5: Solve for x
    x = 28,235,864,576.64/194,578.52
  6. Step 6: Final answer
    x = 145,112.96

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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.