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Finding the Fourth Proportional to 194,960.28, 269,045.25 and 105,536.28

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Solution

The fourth proportional to 194,960.28, 269,045.25 and 105,536.28 is: 145,640.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,960.28 : 269,045.25 = 105,536.28 : x
  2. Step 2: Convert to fraction form
    194,960.28/269,045.25 = 105,536.28/x
  3. Step 3: Cross multiply
    194,960.28x = 269,045.25 × 105,536.28
  4. Step 4: Simplify right side
    194,960.28x = 28,394,034,836.67
  5. Step 5: Solve for x
    x = 28,394,034,836.67/194,960.28
  6. Step 6: Final answer
    x = 145,640.10

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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.