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Finding the Fourth Proportional to 258,164.38, 356,271.42 and 143,453.62

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Solution

The fourth proportional to 258,164.38, 356,271.42 and 143,453.62 is: 197,968.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,164.38 : 356,271.42 = 143,453.62 : x
  2. Step 2: Convert to fraction form
    258,164.38/356,271.42 = 143,453.62/x
  3. Step 3: Cross multiply
    258,164.38x = 356,271.42 × 143,453.62
  4. Step 4: Simplify right side
    258,164.38x = 51,108,424,901.54
  5. Step 5: Solve for x
    x = 51,108,424,901.54/258,164.38
  6. Step 6: Final answer
    x = 197,968.54

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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.