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Finding the Fourth Proportional to 194,898, 268,959.96 and 105,474

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Solution

The fourth proportional to 194,898, 268,959.96 and 105,474 is: 145,554.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,898 : 268,959.96 = 105,474 : x
  2. Step 2: Convert to fraction form
    194,898/268,959.96 = 105,474/x
  3. Step 3: Cross multiply
    194,898x = 268,959.96 × 105,474
  4. Step 4: Simplify right side
    194,898x = 28,368,282,821.04
  5. Step 5: Solve for x
    x = 28,368,282,821.04/194,898
  6. Step 6: Final answer
    x = 145,554.51

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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.