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Finding the Fourth Proportional to 216,466.24, 324,731.76 and 76,200.16

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Solution

The fourth proportional to 216,466.24, 324,731.76 and 76,200.16 is: 114,311.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,466.24 : 324,731.76 = 76,200.16 : x
  2. Step 2: Convert to fraction form
    216,466.24/324,731.76 = 76,200.16/x
  3. Step 3: Cross multiply
    216,466.24x = 324,731.76 × 76,200.16
  4. Step 4: Simplify right side
    216,466.24x = 24,744,612,069.08
  5. Step 5: Solve for x
    x = 24,744,612,069.08/216,466.24
  6. Step 6: Final answer
    x = 114,311.65

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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.