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Finding the Fourth Proportional to 259,004.75, 388,562.70 and 146,738.75

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Solution

The fourth proportional to 259,004.75, 388,562.70 and 146,738.75 is: 220,139.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,004.75 : 388,562.70 = 146,738.75 : x
  2. Step 2: Convert to fraction form
    259,004.75/388,562.70 = 146,738.75/x
  3. Step 3: Cross multiply
    259,004.75x = 388,562.70 × 146,738.75
  4. Step 4: Simplify right side
    259,004.75x = 57,017,204,894.63
  5. Step 5: Solve for x
    x = 57,017,204,894.63/259,004.75
  6. Step 6: Final answer
    x = 220,139.61

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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.