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Finding the Fourth Proportional to 221,046.14, 305,043.66 and 120,444.14

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Solution

The fourth proportional to 221,046.14, 305,043.66 and 120,444.14 is: 166,212.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,046.14 : 305,043.66 = 120,444.14 : x
  2. Step 2: Convert to fraction form
    221,046.14/305,043.66 = 120,444.14/x
  3. Step 3: Cross multiply
    221,046.14x = 305,043.66 × 120,444.14
  4. Step 4: Simplify right side
    221,046.14x = 36,740,722,053.76
  5. Step 5: Solve for x
    x = 36,740,722,053.76/221,046.14
  6. Step 6: Final answer
    x = 166,212.91

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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.