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Finding the Fourth Proportional to 143,224.30, 214,906.11 and 57,831.67

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Solution

The fourth proportional to 143,224.30, 214,906.11 and 57,831.67 is: 86,775.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,224.30 : 214,906.11 = 57,831.67 : x
  2. Step 2: Convert to fraction form
    143,224.30/214,906.11 = 57,831.67/x
  3. Step 3: Cross multiply
    143,224.30x = 214,906.11 × 57,831.67
  4. Step 4: Simplify right side
    143,224.30x = 12,428,379,234.50
  5. Step 5: Solve for x
    x = 12,428,379,234.50/143,224.30
  6. Step 6: Final answer
    x = 86,775.63

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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.