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Finding the Fourth Proportional to 221,216.50, 331,826.02 and 55,004.50

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Solution

The fourth proportional to 221,216.50, 331,826.02 and 55,004.50 is: 82,507.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,216.50 : 331,826.02 = 55,004.50 : x
  2. Step 2: Convert to fraction form
    221,216.50/331,826.02 = 55,004.50/x
  3. Step 3: Cross multiply
    221,216.50x = 331,826.02 × 55,004.50
  4. Step 4: Simplify right side
    221,216.50x = 18,251,924,317.09
  5. Step 5: Solve for x
    x = 18,251,924,317.09/221,216.50
  6. Step 6: Final answer
    x = 82,507.07

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Why These Related Problems?

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