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Finding the Fourth Proportional to 221,451.92, 305,604.60 and 120,852.08

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Solution

The fourth proportional to 221,451.92, 305,604.60 and 120,852.08 is: 166,776.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,451.92 : 305,604.60 = 120,852.08 : x
  2. Step 2: Convert to fraction form
    221,451.92/305,604.60 = 120,852.08/x
  3. Step 3: Cross multiply
    221,451.92x = 305,604.60 × 120,852.08
  4. Step 4: Simplify right side
    221,451.92x = 36,932,951,567.57
  5. Step 5: Solve for x
    x = 36,932,951,567.57/221,451.92
  6. Step 6: Final answer
    x = 166,776.39

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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.