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Finding the Fourth Proportional to 150,542.42, 225,822.13 and 66,342.11

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Solution

The fourth proportional to 150,542.42, 225,822.13 and 66,342.11 is: 99,516.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,542.42 : 225,822.13 = 66,342.11 : x
  2. Step 2: Convert to fraction form
    150,542.42/225,822.13 = 66,342.11/x
  3. Step 3: Cross multiply
    150,542.42x = 225,822.13 × 66,342.11
  4. Step 4: Simplify right side
    150,542.42x = 14,981,515,293.93
  5. Step 5: Solve for x
    x = 14,981,515,293.93/150,542.42
  6. Step 6: Final answer
    x = 99,516.91

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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.