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Finding the Fourth Proportional to 258,189, 387,280.50 and 181,974.48

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Solution

The fourth proportional to 258,189, 387,280.50 and 181,974.48 is: 272,959.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,189 : 387,280.50 = 181,974.48 : x
  2. Step 2: Convert to fraction form
    258,189/387,280.50 = 181,974.48/x
  3. Step 3: Cross multiply
    258,189x = 387,280.50 × 181,974.48
  4. Step 4: Simplify right side
    258,189x = 70,475,167,601.64
  5. Step 5: Solve for x
    x = 70,475,167,601.64/258,189
  6. Step 6: Final answer
    x = 272,959.61

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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.