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Finding the Fourth Proportional to 221,053.24, 305,053.86 and 120,451.24

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Solution

The fourth proportional to 221,053.24, 305,053.86 and 120,451.24 is: 166,222.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,053.24 : 305,053.86 = 120,451.24 : x
  2. Step 2: Convert to fraction form
    221,053.24/305,053.86 = 120,451.24/x
  3. Step 3: Cross multiply
    221,053.24x = 305,053.86 × 120,451.24
  4. Step 4: Simplify right side
    221,053.24x = 36,744,115,703.79
  5. Step 5: Solve for x
    x = 36,744,115,703.79/221,053.24
  6. Step 6: Final answer
    x = 166,222.92

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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.