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Finding the Fourth Proportional to 230,083.28, 344,658.36 and 119,042

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Solution

The fourth proportional to 230,083.28, 344,658.36 and 119,042 is: 178,321.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,083.28 : 344,658.36 = 119,042 : x
  2. Step 2: Convert to fraction form
    230,083.28/344,658.36 = 119,042/x
  3. Step 3: Cross multiply
    230,083.28x = 344,658.36 × 119,042
  4. Step 4: Simplify right side
    230,083.28x = 41,028,820,491.12
  5. Step 5: Solve for x
    x = 41,028,820,491.12/230,083.28
  6. Step 6: Final answer
    x = 178,321.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.