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Finding the Fourth Proportional to 305,067.84, 457,625.15 and 102,664.94

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Solution

The fourth proportional to 305,067.84, 457,625.15 and 102,664.94 is: 154,005.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,067.84 : 457,625.15 = 102,664.94 : x
  2. Step 2: Convert to fraction form
    305,067.84/457,625.15 = 102,664.94/x
  3. Step 3: Cross multiply
    305,067.84x = 457,625.15 × 102,664.94
  4. Step 4: Simplify right side
    305,067.84x = 46,982,058,053.92
  5. Step 5: Solve for x
    x = 46,982,058,053.92/305,067.84
  6. Step 6: Final answer
    x = 154,005.28

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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.