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Finding the Fourth Proportional to 150,297, 225,480.06 and 51,801

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Solution

The fourth proportional to 150,297, 225,480.06 and 51,801 is: 77,713.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,297 : 225,480.06 = 51,801 : x
  2. Step 2: Convert to fraction form
    150,297/225,480.06 = 51,801/x
  3. Step 3: Cross multiply
    150,297x = 225,480.06 × 51,801
  4. Step 4: Simplify right side
    150,297x = 11,680,092,588.06
  5. Step 5: Solve for x
    x = 11,680,092,588.06/150,297
  6. Step 6: Final answer
    x = 77,713.41

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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.