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Finding the Fourth Proportional to 259,042.75, 388,619.70 and 146,776.75

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Solution

The fourth proportional to 259,042.75, 388,619.70 and 146,776.75 is: 220,196.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,042.75 : 388,619.70 = 146,776.75 : x
  2. Step 2: Convert to fraction form
    259,042.75/388,619.70 = 146,776.75/x
  3. Step 3: Cross multiply
    259,042.75x = 388,619.70 × 146,776.75
  4. Step 4: Simplify right side
    259,042.75x = 57,040,336,551.98
  5. Step 5: Solve for x
    x = 57,040,336,551.98/259,042.75
  6. Step 6: Final answer
    x = 220,196.61

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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.