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Finding the Fourth Proportional to 150,169.84, 225,262.25 and 44,978.78

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Solution

The fourth proportional to 150,169.84, 225,262.25 and 44,978.78 is: 67,470.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,169.84 : 225,262.25 = 44,978.78 : x
  2. Step 2: Convert to fraction form
    150,169.84/225,262.25 = 44,978.78/x
  3. Step 3: Cross multiply
    150,169.84x = 225,262.25 × 44,978.78
  4. Step 4: Simplify right side
    150,169.84x = 10,132,021,185.06
  5. Step 5: Solve for x
    x = 10,132,021,185.06/150,169.84
  6. Step 6: Final answer
    x = 67,470.41

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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.