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Finding the Fourth Proportional to 150,307, 225,495.06 and 51,811

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Solution

The fourth proportional to 150,307, 225,495.06 and 51,811 is: 77,728.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,307 : 225,495.06 = 51,811 : x
  2. Step 2: Convert to fraction form
    150,307/225,495.06 = 51,811/x
  3. Step 3: Cross multiply
    150,307x = 225,495.06 × 51,811
  4. Step 4: Simplify right side
    150,307x = 11,683,124,553.66
  5. Step 5: Solve for x
    x = 11,683,124,553.66/150,307
  6. Step 6: Final answer
    x = 77,728.41

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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.