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Finding the Fourth Proportional to 150,770, 226,155 and 45,586.64

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Solution

The fourth proportional to 150,770, 226,155 and 45,586.64 is: 68,379.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,770 : 226,155 = 45,586.64 : x
  2. Step 2: Convert to fraction form
    150,770/226,155 = 45,586.64/x
  3. Step 3: Cross multiply
    150,770x = 226,155 × 45,586.64
  4. Step 4: Simplify right side
    150,770x = 10,309,646,569.20
  5. Step 5: Solve for x
    x = 10,309,646,569.20/150,770
  6. Step 6: Final answer
    x = 68,379.96

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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.