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Finding the Fourth Proportional to 150,628, 225,976.72 and 52,132

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Solution

The fourth proportional to 150,628, 225,976.72 and 52,132 is: 78,210.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,628 : 225,976.72 = 52,132 : x
  2. Step 2: Convert to fraction form
    150,628/225,976.72 = 52,132/x
  3. Step 3: Cross multiply
    150,628x = 225,976.72 × 52,132
  4. Step 4: Simplify right side
    150,628x = 11,780,618,367.04
  5. Step 5: Solve for x
    x = 11,780,618,367.04/150,628
  6. Step 6: Final answer
    x = 78,210.02

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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.