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Finding the Fourth Proportional to 150,501.84, 225,696.25 and 49,276.54

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Solution

The fourth proportional to 150,501.84, 225,696.25 and 49,276.54 is: 73,896.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,501.84 : 225,696.25 = 49,276.54 : x
  2. Step 2: Convert to fraction form
    150,501.84/225,696.25 = 49,276.54/x
  3. Step 3: Cross multiply
    150,501.84x = 225,696.25 × 49,276.54
  4. Step 4: Simplify right side
    150,501.84x = 11,121,530,290.98
  5. Step 5: Solve for x
    x = 11,121,530,290.98/150,501.84
  6. Step 6: Final answer
    x = 73,896.31

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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.