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Finding the Fourth Proportional to 161,785, 242,725.38 and 82,954.54

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Solution

The fourth proportional to 161,785, 242,725.38 and 82,954.54 is: 124,456.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,785 : 242,725.38 = 82,954.54 : x
  2. Step 2: Convert to fraction form
    161,785/242,725.38 = 82,954.54/x
  3. Step 3: Cross multiply
    161,785x = 242,725.38 × 82,954.54
  4. Step 4: Simplify right side
    161,785x = 20,135,172,244.23
  5. Step 5: Solve for x
    x = 20,135,172,244.23/161,785
  6. Step 6: Final answer
    x = 124,456.36

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