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Finding the Fourth Proportional to 150,762, 226,246.68 and 52,266

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Solution

The fourth proportional to 150,762, 226,246.68 and 52,266 is: 78,434.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,762 : 226,246.68 = 52,266 : x
  2. Step 2: Convert to fraction form
    150,762/226,246.68 = 52,266/x
  3. Step 3: Cross multiply
    150,762x = 226,246.68 × 52,266
  4. Step 4: Simplify right side
    150,762x = 11,825,008,976.88
  5. Step 5: Solve for x
    x = 11,825,008,976.88/150,762
  6. Step 6: Final answer
    x = 78,434.94

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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.