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Finding the Fourth Proportional to 150,775, 226,266.18 and 52,279

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Solution

The fourth proportional to 150,775, 226,266.18 and 52,279 is: 78,454.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,775 : 226,266.18 = 52,279 : x
  2. Step 2: Convert to fraction form
    150,775/226,266.18 = 52,279/x
  3. Step 3: Cross multiply
    150,775x = 226,266.18 × 52,279
  4. Step 4: Simplify right side
    150,775x = 11,828,969,624.22
  5. Step 5: Solve for x
    x = 11,828,969,624.22/150,775
  6. Step 6: Final answer
    x = 78,454.45

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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.