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Finding the Fourth Proportional to 275,896.40, 413,141.88 and 182,115.92

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Solution

The fourth proportional to 275,896.40, 413,141.88 and 182,115.92 is: 272,710.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,896.40 : 413,141.88 = 182,115.92 : x
  2. Step 2: Convert to fraction form
    275,896.40/413,141.88 = 182,115.92/x
  3. Step 3: Cross multiply
    275,896.40x = 413,141.88 × 182,115.92
  4. Step 4: Simplify right side
    275,896.40x = 75,239,713,566.73
  5. Step 5: Solve for x
    x = 75,239,713,566.73/275,896.40
  6. Step 6: Final answer
    x = 272,710.02

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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.