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Finding the Fourth Proportional to 221,204.90, 305,249.61 and 125,698.34

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Solution

The fourth proportional to 221,204.90, 305,249.61 and 125,698.34 is: 173,456.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,204.90 : 305,249.61 = 125,698.34 : x
  2. Step 2: Convert to fraction form
    221,204.90/305,249.61 = 125,698.34/x
  3. Step 3: Cross multiply
    221,204.90x = 305,249.61 × 125,698.34
  4. Step 4: Simplify right side
    221,204.90x = 38,369,369,262.65
  5. Step 5: Solve for x
    x = 38,369,369,262.65/221,204.90
  6. Step 6: Final answer
    x = 173,456.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.