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Finding the Fourth Proportional to 221,461.50, 305,617.14 and 120,859.50

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Solution

The fourth proportional to 221,461.50, 305,617.14 and 120,859.50 is: 166,786.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,461.50 : 305,617.14 = 120,859.50 : x
  2. Step 2: Convert to fraction form
    221,461.50/305,617.14 = 120,859.50/x
  3. Step 3: Cross multiply
    221,461.50x = 305,617.14 × 120,859.50
  4. Step 4: Simplify right side
    221,461.50x = 36,936,734,731.83
  5. Step 5: Solve for x
    x = 36,936,734,731.83/221,461.50
  6. Step 6: Final answer
    x = 166,786.26

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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.