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Finding the Fourth Proportional to 218,396.30, 327,673.26 and 76,262.51

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Solution

The fourth proportional to 218,396.30, 327,673.26 and 76,262.51 is: 114,421.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,396.30 : 327,673.26 = 76,262.51 : x
  2. Step 2: Convert to fraction form
    218,396.30/327,673.26 = 76,262.51/x
  3. Step 3: Cross multiply
    218,396.30x = 327,673.26 × 76,262.51
  4. Step 4: Simplify right side
    218,396.30x = 24,989,186,086.67
  5. Step 5: Solve for x
    x = 24,989,186,086.67/218,396.30
  6. Step 6: Final answer
    x = 114,421.29

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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.