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Finding the Fourth Proportional to 150,400.66, 225,614.92 and 49,199.28

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Solution

The fourth proportional to 150,400.66, 225,614.92 and 49,199.28 is: 73,803.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,400.66 : 225,614.92 = 49,199.28 : x
  2. Step 2: Convert to fraction form
    150,400.66/225,614.92 = 49,199.28/x
  3. Step 3: Cross multiply
    150,400.66x = 225,614.92 × 49,199.28
  4. Step 4: Simplify right side
    150,400.66x = 11,100,091,621.26
  5. Step 5: Solve for x
    x = 11,100,091,621.26/150,400.66
  6. Step 6: Final answer
    x = 73,803.48

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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.