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Finding the Fourth Proportional to 150,384, 225,576 and 51,888

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Solution

The fourth proportional to 150,384, 225,576 and 51,888 is: 77,832

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,384 : 225,576 = 51,888 : x
  2. Step 2: Convert to fraction form
    150,384/225,576 = 51,888/x
  3. Step 3: Cross multiply
    150,384x = 225,576 × 51,888
  4. Step 4: Simplify right side
    150,384x = 11,704,687,488
  5. Step 5: Solve for x
    x = 11,704,687,488/150,384
  6. Step 6: Final answer
    x = 77,832

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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.