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Finding the Fourth Proportional to 259,024.75, 388,592.70 and 146,758.75

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Solution

The fourth proportional to 259,024.75, 388,592.70 and 146,758.75 is: 220,169.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,024.75 : 388,592.70 = 146,758.75 : x
  2. Step 2: Convert to fraction form
    259,024.75/388,592.70 = 146,758.75/x
  3. Step 3: Cross multiply
    259,024.75x = 388,592.70 × 146,758.75
  4. Step 4: Simplify right side
    259,024.75x = 57,029,378,911.13
  5. Step 5: Solve for x
    x = 57,029,378,911.13/259,024.75
  6. Step 6: Final answer
    x = 220,169.61

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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.