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Finding the Fourth Proportional to 270,671.82, 405,198.81 and 163,732.17

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Solution

The fourth proportional to 270,671.82, 405,198.81 and 163,732.17 is: 245,108.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,671.82 : 405,198.81 = 163,732.17 : x
  2. Step 2: Convert to fraction form
    270,671.82/405,198.81 = 163,732.17/x
  3. Step 3: Cross multiply
    270,671.82x = 405,198.81 × 163,732.17
  4. Step 4: Simplify right side
    270,671.82x = 66,344,080,442.72
  5. Step 5: Solve for x
    x = 66,344,080,442.72/270,671.82
  6. Step 6: Final answer
    x = 245,108.93

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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.