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Finding the Fourth Proportional to 216,346.50, 298,364.22 and 180,167.76

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Solution

The fourth proportional to 216,346.50, 298,364.22 and 180,167.76 is: 248,469.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,346.50 : 298,364.22 = 180,167.76 : x
  2. Step 2: Convert to fraction form
    216,346.50/298,364.22 = 180,167.76/x
  3. Step 3: Cross multiply
    216,346.50x = 298,364.22 × 180,167.76
  4. Step 4: Simplify right side
    216,346.50x = 53,755,613,181.55
  5. Step 5: Solve for x
    x = 53,755,613,181.55/216,346.50
  6. Step 6: Final answer
    x = 248,469.99

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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.