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Finding the Fourth Proportional to 221,921.94, 306,230.30 and 126,422.94

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Solution

The fourth proportional to 221,921.94, 306,230.30 and 126,422.94 is: 174,451.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,921.94 : 306,230.30 = 126,422.94 : x
  2. Step 2: Convert to fraction form
    221,921.94/306,230.30 = 126,422.94/x
  3. Step 3: Cross multiply
    221,921.94x = 306,230.30 × 126,422.94
  4. Step 4: Simplify right side
    221,921.94x = 38,714,534,843.08
  5. Step 5: Solve for x
    x = 38,714,534,843.08/221,921.94
  6. Step 6: Final answer
    x = 174,451.14

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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.