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Finding the Fourth Proportional to 221,165.17, 331,747.99 and 54,953.17

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Solution

The fourth proportional to 221,165.17, 331,747.99 and 54,953.17 is: 82,429.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,165.17 : 331,747.99 = 54,953.17 : x
  2. Step 2: Convert to fraction form
    221,165.17/331,747.99 = 54,953.17/x
  3. Step 3: Cross multiply
    221,165.17x = 331,747.99 × 54,953.17
  4. Step 4: Simplify right side
    221,165.17x = 18,230,603,416.86
  5. Step 5: Solve for x
    x = 18,230,603,416.86/221,165.17
  6. Step 6: Final answer
    x = 82,429.81

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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.