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Finding the Fourth Proportional to 133,512.50, 184,247.43 and 83,211.50

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Solution

The fourth proportional to 133,512.50, 184,247.43 and 83,211.50 is: 114,831.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,512.50 : 184,247.43 = 83,211.50 : x
  2. Step 2: Convert to fraction form
    133,512.50/184,247.43 = 83,211.50/x
  3. Step 3: Cross multiply
    133,512.50x = 184,247.43 × 83,211.50
  4. Step 4: Simplify right side
    133,512.50x = 15,331,505,021.45
  5. Step 5: Solve for x
    x = 15,331,505,021.45/133,512.50
  6. Step 6: Final answer
    x = 114,831.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.