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Finding the Fourth Proportional to 150,649.92, 226,011.42 and 45,462.60

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Solution

The fourth proportional to 150,649.92, 226,011.42 and 45,462.60 is: 68,204.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,649.92 : 226,011.42 = 45,462.60 : x
  2. Step 2: Convert to fraction form
    150,649.92/226,011.42 = 45,462.60/x
  3. Step 3: Cross multiply
    150,649.92x = 226,011.42 × 45,462.60
  4. Step 4: Simplify right side
    150,649.92x = 10,275,066,782.89
  5. Step 5: Solve for x
    x = 10,275,066,782.89/150,649.92
  6. Step 6: Final answer
    x = 68,204.93

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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.