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Finding the Fourth Proportional to 216,225.53, 298,391.76 and 120,735.64

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Solution

The fourth proportional to 216,225.53, 298,391.76 and 120,735.64 is: 166,615.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,225.53 : 298,391.76 = 120,735.64 : x
  2. Step 2: Convert to fraction form
    216,225.53/298,391.76 = 120,735.64/x
  3. Step 3: Cross multiply
    216,225.53x = 298,391.76 × 120,735.64
  4. Step 4: Simplify right side
    216,225.53x = 36,026,520,147.75
  5. Step 5: Solve for x
    x = 36,026,520,147.75/216,225.53
  6. Step 6: Final answer
    x = 166,615.48

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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.