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Finding the Fourth Proportional to 216,296.24, 324,461.40 and 76,086.32

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Solution

The fourth proportional to 216,296.24, 324,461.40 and 76,086.32 is: 114,135.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,296.24 : 324,461.40 = 76,086.32 : x
  2. Step 2: Convert to fraction form
    216,296.24/324,461.40 = 76,086.32/x
  3. Step 3: Cross multiply
    216,296.24x = 324,461.40 × 76,086.32
  4. Step 4: Simplify right side
    216,296.24x = 24,687,073,908.05
  5. Step 5: Solve for x
    x = 24,687,073,908.05/216,296.24
  6. Step 6: Final answer
    x = 114,135.47

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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.