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Finding the Fourth Proportional to 150,614.91, 225,788.13 and 57,186.27

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Solution

The fourth proportional to 150,614.91, 225,788.13 and 57,186.27 is: 85,728.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,614.91 : 225,788.13 = 57,186.27 : x
  2. Step 2: Convert to fraction form
    150,614.91/225,788.13 = 57,186.27/x
  3. Step 3: Cross multiply
    150,614.91x = 225,788.13 × 57,186.27
  4. Step 4: Simplify right side
    150,614.91x = 12,911,980,964.98
  5. Step 5: Solve for x
    x = 12,911,980,964.98/150,614.91
  6. Step 6: Final answer
    x = 85,728.44

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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.