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Finding the Fourth Proportional to 221,563.54, 305,756.13 and 120,961.54

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Solution

The fourth proportional to 221,563.54, 305,756.13 and 120,961.54 is: 166,926.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,563.54 : 305,756.13 = 120,961.54 : x
  2. Step 2: Convert to fraction form
    221,563.54/305,756.13 = 120,961.54/x
  3. Step 3: Cross multiply
    221,563.54x = 305,756.13 × 120,961.54
  4. Step 4: Simplify right side
    221,563.54x = 36,984,732,349.24
  5. Step 5: Solve for x
    x = 36,984,732,349.24/221,563.54
  6. Step 6: Final answer
    x = 166,926.08

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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.