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Finding the Fourth Proportional to 221,164.17, 331,746.49 and 54,952.17

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Solution

The fourth proportional to 221,164.17, 331,746.49 and 54,952.17 is: 82,428.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,164.17 : 331,746.49 = 54,952.17 : x
  2. Step 2: Convert to fraction form
    221,164.17/331,746.49 = 54,952.17/x
  3. Step 3: Cross multiply
    221,164.17x = 331,746.49 × 54,952.17
  4. Step 4: Simplify right side
    221,164.17x = 18,230,189,896.99
  5. Step 5: Solve for x
    x = 18,230,189,896.99/221,164.17
  6. Step 6: Final answer
    x = 82,428.31

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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.