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Finding the Fourth Proportional to 216,131.34, 324,196.88 and 120,129.60

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Solution

The fourth proportional to 216,131.34, 324,196.88 and 120,129.60 is: 180,194.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,131.34 : 324,196.88 = 120,129.60 : x
  2. Step 2: Convert to fraction form
    216,131.34/324,196.88 = 120,129.60/x
  3. Step 3: Cross multiply
    216,131.34x = 324,196.88 × 120,129.60
  4. Step 4: Simplify right side
    216,131.34x = 38,945,640,915
  5. Step 5: Solve for x
    x = 38,945,640,915/216,131.34
  6. Step 6: Final answer
    x = 180,194.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.