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Finding the Fourth Proportional to 462,133.61, 693,198.26 and 125,173.61

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Solution

The fourth proportional to 462,133.61, 693,198.26 and 125,173.61 is: 187,759.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,133.61 : 693,198.26 = 125,173.61 : x
  2. Step 2: Convert to fraction form
    462,133.61/693,198.26 = 125,173.61/x
  3. Step 3: Cross multiply
    462,133.61x = 693,198.26 × 125,173.61
  4. Step 4: Simplify right side
    462,133.61x = 86,770,128,024.05
  5. Step 5: Solve for x
    x = 86,770,128,024.05/462,133.61
  6. Step 6: Final answer
    x = 187,759.83

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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.