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Finding the Fourth Proportional to 150,589.66, 225,826.90 and 50,723

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Solution

The fourth proportional to 150,589.66, 225,826.90 and 50,723 is: 76,065.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,589.66 : 225,826.90 = 50,723 : x
  2. Step 2: Convert to fraction form
    150,589.66/225,826.90 = 50,723/x
  3. Step 3: Cross multiply
    150,589.66x = 225,826.90 × 50,723
  4. Step 4: Simplify right side
    150,589.66x = 11,454,617,848.70
  5. Step 5: Solve for x
    x = 11,454,617,848.70/150,589.66
  6. Step 6: Final answer
    x = 76,065.10

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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.