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Finding the Fourth Proportional to 216,164.34, 324,242.67 and 68,416.50

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Solution

The fourth proportional to 216,164.34, 324,242.67 and 68,416.50 is: 102,623.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,164.34 : 324,242.67 = 68,416.50 : x
  2. Step 2: Convert to fraction form
    216,164.34/324,242.67 = 68,416.50/x
  3. Step 3: Cross multiply
    216,164.34x = 324,242.67 × 68,416.50
  4. Step 4: Simplify right side
    216,164.34x = 22,183,548,632.06
  5. Step 5: Solve for x
    x = 22,183,548,632.06/216,164.34
  6. Step 6: Final answer
    x = 102,623.53

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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.