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Finding the Fourth Proportional to 221,553.17, 305,741.81 and 120,951.17

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Solution

The fourth proportional to 221,553.17, 305,741.81 and 120,951.17 is: 166,911.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,553.17 : 305,741.81 = 120,951.17 : x
  2. Step 2: Convert to fraction form
    221,553.17/305,741.81 = 120,951.17/x
  3. Step 3: Cross multiply
    221,553.17x = 305,741.81 × 120,951.17
  4. Step 4: Simplify right side
    221,553.17x = 36,979,827,503.95
  5. Step 5: Solve for x
    x = 36,979,827,503.95/221,553.17
  6. Step 6: Final answer
    x = 166,911.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.