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Finding the Fourth Proportional to 150,462.42, 225,708.52 and 55,717.88

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Solution

The fourth proportional to 150,462.42, 225,708.52 and 55,717.88 is: 83,582.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,462.42 : 225,708.52 = 55,717.88 : x
  2. Step 2: Convert to fraction form
    150,462.42/225,708.52 = 55,717.88/x
  3. Step 3: Cross multiply
    150,462.42x = 225,708.52 × 55,717.88
  4. Step 4: Simplify right side
    150,462.42x = 12,576,000,232.34
  5. Step 5: Solve for x
    x = 12,576,000,232.34/150,462.42
  6. Step 6: Final answer
    x = 83,582.33

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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.