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Finding the Fourth Proportional to 305,120.44, 457,850.22 and 136,633.96

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Solution

The fourth proportional to 305,120.44, 457,850.22 and 136,633.96 is: 205,026.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,120.44 : 457,850.22 = 136,633.96 : x
  2. Step 2: Convert to fraction form
    305,120.44/457,850.22 = 136,633.96/x
  3. Step 3: Cross multiply
    305,120.44x = 457,850.22 × 136,633.96
  4. Step 4: Simplify right side
    305,120.44x = 62,557,888,645.47
  5. Step 5: Solve for x
    x = 62,557,888,645.47/305,120.44
  6. Step 6: Final answer
    x = 205,026.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.