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Finding the Fourth Proportional to 162,982.38, 224,916.49 and 95,046.46

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Solution

The fourth proportional to 162,982.38, 224,916.49 and 95,046.46 is: 131,164.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,982.38 : 224,916.49 = 95,046.46 : x
  2. Step 2: Convert to fraction form
    162,982.38/224,916.49 = 95,046.46/x
  3. Step 3: Cross multiply
    162,982.38x = 224,916.49 × 95,046.46
  4. Step 4: Simplify right side
    162,982.38x = 21,377,515,932.51
  5. Step 5: Solve for x
    x = 21,377,515,932.51/162,982.38
  6. Step 6: Final answer
    x = 131,164.59

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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.