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Finding the Fourth Proportional to 150,872.40, 226,301.40 and 51,022.80

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Solution

The fourth proportional to 150,872.40, 226,301.40 and 51,022.80 is: 76,531.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,872.40 : 226,301.40 = 51,022.80 : x
  2. Step 2: Convert to fraction form
    150,872.40/226,301.40 = 51,022.80/x
  3. Step 3: Cross multiply
    150,872.40x = 226,301.40 × 51,022.80
  4. Step 4: Simplify right side
    150,872.40x = 11,546,531,071.92
  5. Step 5: Solve for x
    x = 11,546,531,071.92/150,872.40
  6. Step 6: Final answer
    x = 76,531.77

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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.