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Finding the Fourth Proportional to 226,407.37, 339,672.30 and 76,647.67

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Solution

The fourth proportional to 226,407.37, 339,672.30 and 76,647.67 is: 114,992.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,407.37 : 339,672.30 = 76,647.67 : x
  2. Step 2: Convert to fraction form
    226,407.37/339,672.30 = 76,647.67/x
  3. Step 3: Cross multiply
    226,407.37x = 339,672.30 × 76,647.67
  4. Step 4: Simplify right side
    226,407.37x = 26,035,090,358.54
  5. Step 5: Solve for x
    x = 26,035,090,358.54/226,407.37
  6. Step 6: Final answer
    x = 114,992.24

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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.