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Finding the Fourth Proportional to 258,856.44, 388,377.54 and 101,198.04

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Solution

The fourth proportional to 258,856.44, 388,377.54 and 101,198.04 is: 151,833.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,856.44 : 388,377.54 = 101,198.04 : x
  2. Step 2: Convert to fraction form
    258,856.44/388,377.54 = 101,198.04/x
  3. Step 3: Cross multiply
    258,856.44x = 388,377.54 × 101,198.04
  4. Step 4: Simplify right side
    258,856.44x = 39,303,045,828.02
  5. Step 5: Solve for x
    x = 39,303,045,828.02/258,856.44
  6. Step 6: Final answer
    x = 151,833.37

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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.