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Finding the Fourth Proportional to 356,876.14, 492,491.51 and 195,732.34

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Solution

The fourth proportional to 356,876.14, 492,491.51 and 195,732.34 is: 270,111.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,876.14 : 492,491.51 = 195,732.34 : x
  2. Step 2: Convert to fraction form
    356,876.14/492,491.51 = 195,732.34/x
  3. Step 3: Cross multiply
    356,876.14x = 492,491.51 × 195,732.34
  4. Step 4: Simplify right side
    356,876.14x = 96,396,515,682.43
  5. Step 5: Solve for x
    x = 96,396,515,682.43/356,876.14
  6. Step 6: Final answer
    x = 270,111.97

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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.